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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Harry Bateman 1882-1946
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Bull. Amer. Math. Soc. 54 (1948), 88-103
References
    1. Harry Bateman, The mathematical analysis of electrical and optical wave motion on the basis of Maxwell’s equations, Cambridge University Press, 1915, 6+159 pp. 2. Harry Bateman, Differential equations, Longmans, Green & Co., London, 1918, 11+306 pp.
  • H. Bateman, Partial Differential Equations of Mathematical Physics, Dover Publications, New York, N.Y., 1944. MR 0010909
    • 1. Harry Bateman, Report on the history and present state of the theory of integral equations, British Association for the Advancement of Science vol. 80 (1910) pp. 345-424. 2. Harry Bateman, Equations for the description of electromagnetic phenomena, Bulletin of the National Research Council, no. 4, 1922, pp. 96-161. 3. Harry Bateman, Hydrodynamics, Bulletin of the National Research Council, No. 84, 1932, pp. 89-579, 590-601. 4. Harry Bateman, Numerical integration of differential equations, Bulletin of the National Research Council, no. 92, 1933, pp. 1-108. Harry Bateman, Dynamics, elasticity, Encyclopaedia Britannica, 1945. 1. Harry Bateman, Question 14943, Educational Times (2) vol. 1 (1902) pp. 98-100. 2. Harry Bateman, Question 15119, Educational Times (2) vol. 3 (1903) pp. 110-111. 3. Harry Bateman, Question 15221, Educational Times (2) vol. 4 (1903) p. 88. 4. Harry Bateman, The determination of curves satisfying given conditions, Proc. Cambridge Philos. Soc. vol. 12 (1903) pp. 163-171. 5. Harry Bateman, Question 15440, Educational Times (2) vol. 5 (1904) p. 68. 6. Harry Bateman, Question 15388, Educational Times (2) vol. 5 (1904) pp. 105-106. 7. Harry Bateman, The solution of partial differential equations by means of definite integrals, Proc. London Math. Soc. (2) vol. 1 (1904) pp. 451-458. 8. Harry Bateman, Certain definite integrals and expansions connected with the Legendre and Bessel functions, Messenger of Mathematics (2) vol. 33 (1904) pp. 182-188. 9. Harry Bateman, A generalization of the Legendre polynomial, Proc. London Math. Soc. (2) vol. 3 (1905) pp. 111-123. 10. Harry Bateman, The Weddle quartic surface, Proc. London Math. Soc. (2) vol. 3 (1905) pp. 225-238. 11. Harry Bateman, The correspondence of Brook Taylor, Bibliotheca Mathematica (3) vol. 7 (1906) pp. 367-371. 12. Harry Bateman, Note on the solution of linear differential equations by means of definite integrals, Messenger of Mathematics (2) vol. 35 (1906) pp. 140-141. 13. Harry Bateman, The theory of integral equations, Proc. London Math. Soc. (2) vol. 4 (1906) pp. 90-115. 14. Harry Bateman, On the inversion of a definite integral, Proc. London Math. Soc. (2) vol. 4 (1906) pp. 461-498. 15. Harry Bateman, Sur l’équation de Fredholm, Bull. Sci. Math. (2) vol. 30 (1906) pp. 264-270. 16. Harry Bateman, A class of integral equations, Trans. Cambridge Philos. Soc. vol. 20 (1906) pp. 233-252. 17. Harry Bateman, A type of hyperelliptic curve and the transformations connected with it, Quart. J. Math. vol. 37 (1906) pp. 277-286. 18. Harry Bateman, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics (2) vol. 36 (1906) pp. 31-37. 19. Harry Bateman, On definite functions, Messenger of Mathematics (2) vol. 37 (1907) pp. 91-95.
  • H. Bateman, The inversion of a definite integral, Math. Ann. 63 (1907), no. 4, 525–548. MR 1511417, DOI 10.1007/BF01449772
    • 21. Harry Bateman, The application of integral equations to the determination of expansions in series of oscillating functions, Trans. Cambridge Philos. Soc. vol. 20 (1907) pp. 281-290. 22. Harry Bateman, The reality of the roots of certain transcendental equations occurring in the theory of integral equations, Trans. Cambridge Philos. Soc. vol. 20 (1907) pp. 371-382. 23. Harry Bateman, (H. B. and D. M. Y. Sommerville). Question 16009, Educational Times (2) vol. 11 (1907) pp. 57-61. 24. Harry Bateman, Some geometrical theorems occurring in hydrostatics, Messenger of Mathematics vol. 37 (1907) pp. 119-123. 25. Harry Bateman, A formula for the solving function of a certain integral equation of the second kind, Messenger of Mathematics (2) vol. 37 (1908) pp. 179-187. 26. Harry Bateman, Notes on integral equations. I. The integral equation of the first kind, Messenger of Mathematics (2) vol. 38 (1908) pp. 8-13. 27. Harry Bateman, Notes on integral equations. II. The method of least squares, Messenger of Mathematics (2) vol. 38 (1908) pp. 70-76. 28. Harry Bateman, On the application of integral equations to the determination of upper and lower limits to the value of a double integral, Trans. Cambridge Philos. Soc. vol. 21 (1908) pp. 123-128. 29. Harry Bateman, On essentially positive double integrals and the part which they play in the theory of integral equations, British Association Reports (Leicester) vol. 77 (1908) pp. 447-449. 30. Harry Bateman, Question 16090, Educational Times (2) vol. 13 (1908) pp. 72-74, 91. 31. Harry Bateman, The tangent plane which can be drawn to an algebraic surface from a multiple line, Archiv der Mathematik und Physik (3) vol. 13 (1908) pp. 48-51. 32. Harry Bateman, A method of calculating the number of degrees of freedom of a molecule among which the partition of energy is governed by the principal temperature, Memoirs and Proceedings of the Manchester Literary and Philosophical Society vol. 53 (1908) pp. 1-9. 33. Harry Bateman, The solution of linear differential equations by means of definite integrals, Trans. Cambridge Philos. Soc. vol. 21 (1909) pp. 171-196. 34. Harry Bateman, Notes on integral equations. III. The homogeneous integral equation of the first kind, Messenger of Mathematics (2) vol. 39 (1909) pp. 6-19. 35. Harry Bateman, The conformal transformations of a space of four dimensions and their applications to geometric optics, Proc. London Math. Soc. (2) vol. 7 (1909) pp. 70-89; British Association Reports (Dublin) vol. 78 (1909) pp. 627-629. 36. Harry Bateman, The reflexion of light at an ideal plane mirror moving with a uniform velocity of translation, Philosophical Magazine (6) vol. 18 (1909) pp. 890-895. 37. Harry Bateman, The solution of a system of differential equations occurring in the theory of radioactive transformations, Proc. Cambridge Philos. Soc. vol. 15 (1910) pp. 423-427. 38. Harry Bateman, The linear difference equation of the third order and a generalisation of a continued fraction, Quart. J. Math. vol. 41 (1910) pp. 302-308. 39. Harry Bateman, The solution of the integral equation connecting the velocity of propagation of an earthquake-wave in the interior of the earth with the times which the disturbance takes to travel to the different stations on the earth’s surface, Philosophical Magazine (6) vol. 19 (1910) pp. 576-587; Physikalische Zeitschrift vol. 11 (1910) pp. 96-99. 40. Harry Bateman, Notes on integral equations. IV. The expansion theorems and the integral equation of the first kind, Messenger of Mathematics (2) vol. 39 (1910) pp. 129-135. 41. Harry Bateman, Notes on integral equations. V. Integral equations with variable limits, Messenger of Mathematics (2) vol. 39 (1910) pp. 173-178. 42. Harry Bateman, Notes on integral equations. VI. The homogeneous integral equation of the first kind, Messenger of Mathematics (2) vol. 39 (1910) pp. 182-191. 43. Harry Bateman, The determination of solutions of the equation of wave motion involving an arbitrary function of three variables which satisfies a partial differential equation, Trans. Cambridge Philos. Soc. vol. 21 (1910) pp. 257-280. 44. Harry Bateman, Question 16215, Educational Times (2) vol. 18 (1910) pp. 86-87. 45. Harry Bateman, A system of circles derived from a cubic space curve and the properties of a certain configuration of fifteen lines, Messenger of Mathematics (2) vol. 40 (1910) pp. 81-87. 46. Harry Bateman, Kummer’s quartic surface as a wave surface, Proc. London Math. Soc. (2) vol. 8 (1910) pp. 375-382. 47. Harry Bateman, The physical aspect of time, Memoirs and Proceedings of the Manchester Literary and Philosophical Society vol. 54 (1910) 13 pp. 48. Harry Bateman, Correction to Mr. H. Bateman’s paper on the reflexion of light at an ideal plane mirror moving with uniform velocity of translation, Philosophical Magazine (6) vol. 19 (1910) p. 824. 49. Harry Bateman, Elementare elektronensysteme (Elementary systems of electrons), Physikalische Zeitschrift vol. 11 (1910) pp. 318-320. 50. Harry Bateman, The transformation of the electrodynamical equations, Proc. London Math. Soc. (2) vol. 8 (1910) pp: 223-264. 51. Harry Bateman, The transformation of coordinates which can be used to transform one physical problem into another, Proc. London Math. Soc. (2) vol. 8 (1910) pp. 469-488. 52. Harry Bateman, The relation between electromagnetism and geometry, Philosophical Magazine (6) vol. 20 (1910) pp. 623-628. 53. Harry Bateman, On the probability distribution of α-particles, Philosophical Magazine (6) vol. 20 (1910) pp. 704-707. 54. Harry Bateman, Notes on integral equations. VII. The solution of partial differential equations by means of definite integrals, Messenger of Mathematics (2) vol. 41 (1911) pp. 94-101. 55. Harry Bateman, The foci of a circle in space and some geometrical theorems connected therewith, British Association Reports (Sheffield) vol. 80 (1911) pp. 532-533 56. Harry Bateman, Some problems in the theory of probability, Philosophical Magazine (6) vol. 21 (1911) pp. 745-752. 57. Harry Bateman, The transformation of a particular type of electromagnetic field and its physical interpretation, Proc. London Math. Soc. (2) vol. 10 (1911) pp. 7-14. 58. Harry Bateman, On certain vectors associated with an electromagnetic field and the reflection of a disturbance at the surface of a perfect conductor, Proc. London Math. Soc. (2) vol. 10 (1911) pp. 96-115. 59. Harry Bateman, The fundamental equations of the theory of electrons and the infinitesimal transformation of an electromagnetic field into itself, Bull. Amer. Math. Soc. vol. 17 (1911) p. 525. 60. Harry Bateman, On a set of kernels whose determinants form a Sturmian sequence, Bull. Amer. Math. Soc. vol. 18 (1912) pp. 179-182. 61. Harry Bateman, Notes on integral equations. VIII. Some simple definite integrals derived from the formulae of Fourier and Abel, Messenger of Mathematics (2) vol. 41 (1912) pp. 180-184.
  • H. Bateman, Some Geometrical Theorems Connected with Laplace’s Equation and the Equation of Wave Motion, Amer. J. Math. 34 (1912), no. 3, 325–360. MR 1506155, DOI 10.2307/2370223
  • H. Bateman, A new type of solution of Laplace’s equation, Ann. of Math. (2) 14 (1912/13), no. 1-4, 51–56. MR 1502438, DOI 10.2307/1967599
    • 64. Harry Bateman, Some equations of mixed differences occurring in the theory of probability and the related expansions in series of Bessel’s functions, Proceedings of the Fifth International Congress of Mathematicians, vol. 1, 1913, pp. 291-294. 65. Harry Bateman, Sonin’s polynomials and their relation to other functions, Bull. Amer. Math. Soc. vol. 19 (1913) p. 394.
  • H. Bateman, The Double Tangents of a Binodal Quartic, Amer. J. Math. 35 (1913), no. 1, 57–78. MR 1506171, DOI 10.2307/2370204
    • 67. Harry Bateman, The expression of the equation of the general quartic curve in the form A/xx’+B/yy’+C/zz’=0, Bull. Amer. Math. Soc. vol. 19 (1913) p. 19. 68. Harry Bateman, The degenerate cases of Hierholzer’s octavic surface, Johns Hopkins University Circular vol. 7 (1913) pp. 42-46. 69. Harry Bateman, Corpuscular radiation, Philosophical Magazine (6) vol. 26 (1913) pp. 579-585. 70. Harry Bateman, A new type of solution of Maxwell’s equations, Ann. of Math. (2) vol. 15 (1914) pp. 106-111. 71. Harry Bateman, A general result in the theory of partial differential equations, Messenger of Mathematics (2) vol. 43 (1914) pp. 164-171.
  • H. Bateman, The Quartic Curve and Its Inscribed Configurations, Amer. J. Math. 36 (1914), no. 4, 357–386. MR 1506229, DOI 10.2307/2370369
    • 73. Harry Bateman, The classification of electromagnetic fields, Philosophical Magazine (6) vol. 27 (1914) pp. 136-147. 74. Harry Bateman, Some recent researches on the motion of fluids, Monthly Weather Review vol. 43 (1915) pp. 163-170.
  • H. Bateman, On a Porism Connected with the Theory of Maxwell’s Equations and a Method of Obtaining the Lines of Electric Force Due to a Moving Point Charge, Amer. J. Math. 37 (1915), no. 2, 192–194. MR 1506252, DOI 10.2307/2370423
    • 76. Harry Bateman, On systems of partial differential equations and the transformation of spherical harmonics, Proceedings of the Edinburgh Royal Society vol. 36 (1915) pp. 300-312. 77. Harry Bateman, On certain solutions of Maxwell’s equations, Messenger of Mathematics (2) vol. 45 (1915) pp. 1-11. 78. Harry Bateman, Time and electromagnetism, Messenger of Mathematics (2) vol. 45 (1915) pp. 97-115. 79. Harry Bateman, The structure of the aether, Bull. Amer. Math. Soc. vol. 21 (1915) pp. 299-309. 80. Harry Bateman, On multiple electromagnetic fields, Bull. Amer. Math. Soc. vol. 22 (1916) p. 377. 81. Harry Bateman, A certain system of linear partial differential equations, Bull. Amer. Math. Soc. vol. 22 (1916) pp. 329-335. 82. Harry Bateman, On the relation of the theory of integral equations to the subject of the calculus of operations and functions, Science Progress vol. 11 (1917) pp. 508-512. 83. Harry Bateman, Some fundamental concepts of electrical theory, Philosophical Magazine (6) vol. 34 (1917) pp. 405-423. 84. Harry Bateman, On the motion of continuous distributions of electricity, Messenger of Mathematics (2) vol. 46 (1917) pp. 136-145. 85. Harry Bateman, Doppler’s principle for a windy atmosphere, Monthly Weather Review vol. 45 (1917) pp. 441-442. 86. Harry Bateman, Some differential equations occurring in the electrical theory of radiation, Messenger of Mathematics (2) vol. 47 (1918) pp. 161-173. 87. Harry Bateman, On a solution of the wave-equation, Tôhoku Math. J. vol. 13 (1918) pp. 205-209. 88. Harry Bateman, The electromagnetic vectors, Physical Review (2) vol. 12 (1918) pp. 459-481. 89. Harry Bateman, Mathematical theory of sound ranging, Monthly Weather Review vol. 46 (1918) pp. 4-11. 90. Harry Bateman, The structure of an electromagnetic field, Proc. Nat. Acad. Sci. U. S. A. vol. 4 (1918) pp. 140-145. 91. Harry Bateman, The solution of the wave equation by means of definite integrals, Bull. Amer. Math. Soc. vol. 24 (1918) pp. 296-301. 92. Harry Bateman, The nature of a moving electric charge and its lines of electric force, Proc. London Math. Soc. (2) vol. 18 (1919) pp. 95-135. 93. Harry Bateman, On general relativity, Philosophical Magazine (6) vol. 37 (1919) pp. 219-223. 94. Harry Bateman, Rotating cylinders and rectilinear vortices, Bull. Amer. Math. Soc. vol. 25 (1919) pp. 358-374. 95. Harry Bateman, Radiation from a moving magneton, Proc. Nat. Acad. Sci. U. S. A. vol. 5 (1919) pp. 367-371; Messenger of Mathematics (2) vol. 48 (1919) pp. 56-76. 96. Harry Bateman, On a differential equation occurring in Page’s theory of electromagnetism, Proc. Nat. Acad. Sci. U. S. A. vol. 6 (1920) pp. 528-529. 97. Harry Bateman, An integral equation occurring in a mathematical theory of retail trade, Messenger of Mathematics (2) vol. 49 (1920) pp. 134-137. 98. Harry Bateman, A differential equation occurring in the theory of the propagation of waves, Messenger of Mathematics (2) vol. 50 (1920) pp. 95-101. 99. Harry Bateman, Notes on electrical theory, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 217-225. 100. Harry Bateman, Correspondences between three-dimensional and four-dimensional potential problems, Messenger of Mathematics (2) vol. 51 (1921) pp. 151-160. 101. Harry Bateman, Electricity and gravitation, Physical Review (2) vol. 17 (1921) pp. 64-69. 102. Harry Bateman, An electromagnetic theory of radiation, Philosophical Magazine (6) vol. 41 (1921) pp. 107-113. 103. Harry Bateman, On lines of electric induction and the conformal transformations of a space of four dimensions, Proc. London Math. Soc. (2) vol. 21 (1922) pp. 256-270. 104. Harry Bateman, Some problems in potential theory, Messenger of Mathematics (2) vol. 52 (1922) pp. 71-78. 105. Harry Bateman, The stress-energy tensor in electromagnetic theory and a new law of force, Physical Review (2) vol. 20 (1922) pp. 243-248. 106. Harry Bateman, On the numerical solution of linear integral equations, Proc. Roy. Soc. London Ser. A vol. 100 (1922) pp. 441-449. 107. Harry Bateman, Electromagnetism and dynamics, Messenger of Mathematics (2) vol. 52 (1922) pp. 116-128. 108. Harry Bateman, On the conformal transformations of a space of four dimensions and lines of electric force, Proc. London Math. Soc. (2) vol. 20 (1922) pp. v-vi. 109. Harry Bateman, Electron in uniform motion, Science vol. 57 (1923) pp. 238-240. 110. Harry Bateman, On the radiation of electric dipoles, Proc. London Math. Soc. Records, November, 1923. 111. Harry Bateman, An electromagnetic theory of light-darts, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 385-393. 112. Harry Bateman, On the theory of light-quanta, Philosophical Magazine (6) vol. 46 (1923) pp. 977-991. 113. Harry Bateman, (H. B. and P. Ehrenfest). The derivation of electromagnetic fields from a basic wave-function, Proc. Nat. Acad. Sci. U.S.A. vol. 10 (1924) pp. 369-374. 114. Harry Bateman, Derivation of three-dimensional potentials from four-dimensional potentials, Bull. Amer. Math. Soc. vol. 30 (1924) p. 15. 115. Harry Bateman, The form of an isolated electric particle, Messenger of Mathematics (2) vol. 53 (1924) pp. 145-152. 116. Harry Bateman, On some solutions of Laplace’s equation, Messenger of Mathematics (2) vol. 54 (1924) pp. 28-32. 117. Harry Bateman, The field of an electron at rest and in uniform motion, Philosophical Magazine (6) vol. 49 (1925) pp. 1-18.
  • H. Bateman, An extension of Lagrange’s expansion, Trans. Amer. Math. Soc. 28 (1926), no. 2, 346–356. MR 1501349, DOI 10.1090/S0002-9947-1926-1501349-0
    • 119. Harry Bateman, Numerical solution of an integral equation, Bull. Amer. Math. Soc. vol. 31 (1925) p. 111.
  • H. Bateman, Questions and Discussions: On the Occasional Need of Very Accurate Logarithms, Amer. Math. Monthly 32 (1925), no. 5, 249. MR 1520679, DOI 10.2307/2299195
    • 121. Harry Bateman, The stability of electrons and protons, Messenger of Mathematics (2) vol. 54 (1925) pp. 142-149. 122. Harry Bateman, Theory of the condenser in a new electrostatics, Philosophical Magazine (6) vol. 49 (1925) pp. 1-22. 123. Harry Bateman, Local electromagnetic fields, Proceedings of the Edinburgh Mathematical Society, vol. 44 (1926) pp. 85-89.
  • H. Bateman, Algebraic and Transcendental Equations Connected with the Form of Stream Lines, Amer. J. Math. 48 (1926), no. 4, 277–297. MR 1506595, DOI 10.2307/2370602
    • 125. Harry Bateman, A possible connection between the wave-theory of matter and electromagnetism, Nature vol. 118 (1926) pp. 839-840. 126. Harry Bateman, An expression for the energy in a new electrostatics, Messenger of Mathematics (2) vol. 55 (1926) pp. 161-168. 127. Harry Bateman, The radiation of energy and angular momentum, Physical Review (2) vol. 27 (1926) pp. 606-617. 128. Harry Bateman, A cubic curve connected with two triangles, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 45-50. 129. Harry Bateman, Lagrangian functions and Schroedinger’s rule, Proc. Nat. Acad. Sci. U.S.A. vol. 13 (1927) pp. 326-330. 130. Harry Bateman, A modification of Gordon’s equations, Physical Review (2) vol. 30 (1927) pp. 55-60. 131. Harry Bateman, The symmetry of the stress-tensor obtained by Schroedinger’s rule, Proc. Nat. Acad. Sci. U.S.A. vol. 13 (1927) pp. 771-774. 132. Harry Bateman, Some remarks on the wave-theory of matter, Messenger of Mathematics (2) vol. 57 (1927) pp. 7-12. 133. Harry Bateman, The equation for the transverse vibrations of thin rods, Messenger of Mathematics (2) vol. 57 (1928) pp. 145-154. 134. Harry Bateman, Transverse seismic waves on the surface of a semi-infinite solid composed of heterogeneous materials, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 343-348. 135. Harry Bateman, Interpolation for airfoils, Messenger of Mathematics (2) vol. 57 (1928) pp. 187-192. 136. Harry Bateman, Notes on a differential equation which occurs in the two-dimensional motion of a compressible fluid and the associated variational problems, Proc. Roy. Soc. London Ser. A vol. 125 (1929) pp. 598-618. 137. Harry Bateman, Some properties of spherical harmonics, Bull. Amer. Math. Soc. vol. 36 (1930) pp. 306-314. 138. Harry Bateman, Variable flow in pipes, Physical Review (2) vol. 35 (1930) pp. 177-183. 139. Harry Bateman, Physical problems with discontinuous initial conditions, Proc. Nat. Acad. Sci. U.S.A. vol. 16 (1930) pp. 205-211.
  • H. Bateman, A solution of the wave-equation, Ann. of Math. (2) 31 (1930), no. 1, 158–162. MR 1502927, DOI 10.2307/1968148
    • 141. Harry Bateman, Irrotational motion of a compressible inviscid fluid, Proc. Nat. Acad. Sci. U.S.A. vol. 16 (1930) pp. 816-825. 142. Harry Bateman, Solutions of a certain partial differential equation, Proc. Nat. Acad. Sci. U.S.A. vol. 17 (1931) pp. 562-567. 143. Harry Bateman, On dissipative systems and related variational principles, Physical Review (2) vol. 38 (1931) pp. 815-819.
  • H. Bateman, Lagrange’s Compound Pendulum, Amer. Math. Monthly 38 (1931), no. 1, 1–8. MR 1522150, DOI 10.2307/2301581
    • 145. Harry Bateman, Sound rays as extremals, Journal of the Acoustical Society of America vol. 2 (1931) pp. 468-475. 146. Harry Bateman, Relations between confluent hypergeometric functions, Proc. Nat. Acad. Sci. U.S.A. vol. 17 (1931) pp. 689-690.
  • H. Bateman, The $k$-function, a particular case of the confluent hypergeometric function, Trans. Amer. Math. Soc. 33 (1931), no. 4, 817–831. MR 1501618, DOI 10.1090/S0002-9947-1931-1501618-6
    • 148. Harry Bateman, Some applications of Murphy’s theorem, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 118-123. 149. Harry Bateman, Logarithmic solutions of Bianchi’s equation, Proc. Nat. Acad. Sci. U.S.A. vol. 19 (1933) pp. 852-854. 150. Harry Bateman, Variational principles in electromagnetism, Physical Review (2) vol. 43 (1933) pp. 481-484. 151. Harry Bateman, Schroedinger’s rule and hydrodynamics, Physical Review (2) vol. 43 (1933) pp. 363. 152. Harry Bateman, Some properties of a certain set of polynomials, Tôhoku Math J. vol. 37 (1933) pp. 23-38. 153. Harry Bateman, Functions orthogonal in the Hermitian sense, A new application of basic numbers, Proc. Nat. Acad. Sci. U.S.A. vol. 20 (1934) pp. 63-66. 154. Harry Bateman, Sidelights on electromagnetic theory, Physical Review (2) vol. 45 (1934) pp. 721-723.
  • H. Bateman, The polynomial $F_n(x)$, Ann. of Math. (2) 35 (1934), no. 4, 767–775. MR 1503195, DOI 10.2307/1968493
  • Harry Bateman, Selective Functions and Operations, Amer. Math. Monthly 41 (1934), no. 9, 556–562. MR 1523213, DOI 10.2307/2301431
    • 157. Harry Bateman, Operational equations, National Mathematics Magazine vol. 9 (1935) pp. 197-201. 158. Harry Bateman, (H. B. and S. O. Rice). Some expansions associated with Bessel functions, Proc. Nat. Acad. Sci. U.S.A. vol. 21 (1935) pp. 173-179. 159. Harry Bateman, A partial differential equation connected with the functions of the parabolic cylinder, Bull. Amer. Math. Soc. vol. 41 (1935) pp. 884-893. 160. Harry Bateman, Functional differential equations and inequalities, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) pp. 170-172.
  • H. Bateman, Two systems of polynomials for the solution of Laplace’s integral equation, Duke Math. J. 2 (1936), no. 3, 569–577. MR 1545948, DOI 10.1215/S0012-7094-36-00248-X
  • H. Bateman, Polynomials associated with those of Lerch, Monatsh. Math. Phys. 43 (1936), no. 1, 75–80. MR 1550512, DOI 10.1007/BF01707589
    • 163. Harry Bateman, Progressive waves of finite amplitude and some steady motions of an elastic fluid, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) pp. 607-619.
  • H. Bateman, The polynomial $F_n(x)$ and its relation to other functions, Ann. of Math. (2) 38 (1937), no. 2, 303–310. MR 1503337, DOI 10.2307/1968555
    • 165. Harry Bateman, Coulomb’s function, Proc. Nat. Acad. Sci. U.S.A. vol. 24 (1938) pp. 321-325. 166. Harry Bateman, Rayleigh waves, Proc. Nat. Acad. Sci. U.S.A. vol. 24 (1938) pp. 315-320. 167. Harry Bateman, The lift and drag functions for an elastic fluid in two dimensional irrotational flow, Proc. Nat. Acad. Sci. U.S.A. vol. 24 (1938) pp. 246-251.
  • Harry Bateman, Haley’s Methods for Solving Equations, Amer. Math. Monthly 45 (1938), no. 1, 11–17. MR 1524157, DOI 10.2307/2303467
  • H. Bateman and S. O. Rice, Integrals Involving Legendre Functions, Amer. J. Math. 60 (1938), no. 2, 297–308. MR 1507313, DOI 10.2307/2371294
  • H. Bateman, Spheroidal and bipolar coordinates, Duke Math. J. 4 (1938), no. 1, 39–50. MR 1546033, DOI 10.1215/S0012-7094-38-00404-1
  • H. Bateman, A Partial Differential Equation Associated with Poisson’s Work on the Theory of Sound, Amer. J. Math. 60 (1938), no. 2, 293–296. MR 1507312, DOI 10.2307/2371293
    • 172. Harry Bateman, Paraboloidal coordinates, Philosophical Magazine (7) vol. 26 (1938) pp. 1063-1068. 173. Harry Bateman, The transformation of a Lagrangian series into a Newtonian series, Proc. Nat. Acad. Sci. U.S.A. vol. 25 (1939) pp. 262-265.
  • H. Bateman, The aerodynamics of reacting substances, Proc. Nat. Acad. Sci. U.S.A. 25 (1939), 388–391. MR 1150, DOI 10.1073/pnas.25.7.388
  • H. Bateman, On some symmetrical potentials and the partial differential equation $V_{ssxx}+V_{ssyy}+V_{tt}=0$, Monatsh. Math. Phys. 48 (1939), 322–328. MR 457, DOI 10.1007/BF01696188
  • H. Bateman, The solution of harmonic equations by means of definite integrals, Bull. Amer. Math. Soc. 46 (1940), 538–542. MR 2459, DOI 10.1090/S0002-9904-1940-07257-X
  • H. Bateman, The polynomial of Mittag-Leffler, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 491–496. MR 2381, DOI 10.1073/pnas.26.8.491
  • H. Bateman, Some definite integrals occurring in aerodynamics, Theodore von Kármán Anniversary Volume, California Institute of Technology, Pasadena, Calif., 1941, pp. 1–7. MR 0005204
    • 179. Harry Bateman, The resistance of ships, National Mathematics Magazine vol. 16 (1941) pp. 79-88. 180. Harry Bateman, The form of a ship, National Mathematics Magazine vol. 16 (1941) pp. 141-149.
  • H. Bateman, An orthogonal property of the hypergeometric polynomial, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 374–377. MR 7083, DOI 10.1073/pnas.28.9.374
  • H. Bateman, Some asymptotic relations, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 371–374. MR 7084, DOI 10.1073/pnas.28.9.371
  • H. Bateman, The influence of tidal theory upon the development of mathematics, Natl. Math. Mag. 18 (1943), 14–26. MR 8789, DOI 10.2307/3029913
  • H. Bateman, Some simple differential difference equations and the related functions, Bull. Amer. Math. Soc. 49 (1943), 494–512. MR 8886, DOI 10.1090/S0002-9904-1943-07927-X
  • H. Bateman, Note on the function $f(a,b;c-n;z)$, Proc. Nat. Acad. Sci. U.S.A. 30 (1944), 28–30. MR 9666, DOI 10.1073/pnas.30.2.28
  • H. Bateman, The transformation of partial differential equations, Quart. Appl. Math. 1 (1944), 281–296. MR 9686, DOI 10.1090/S0033-569X-1944-09686-0
  • Harry Bateman and Raymond Clare Archibald, A guide to tables of Bessel functions, Math. Tables Aids Comput. 1 (1944), 205–308. MR 11175, DOI 10.1090/S0025-5718-1944-0011175-4
  • H. Bateman, Some integral relations, Bull. Amer. Math. Soc. 50 (1944), 745–749. MR 10753, DOI 10.1090/S0002-9904-1944-08231-1
  • H. Bateman, Hamilton’s work in dynamics and its influence on modern thought, Scripta Math. 10 (1944), 51–63. MR 11268
  • H. Bateman, Two integral equations, Proc. Nat. Acad. Sci. U.S.A. 31 (1945), 196–200. MR 13834, DOI 10.1073/pnas.31.7.196
  • H. Bateman, The control of an elastic fluid, Bull. Amer. Math. Soc. 51 (1945), 601–646. MR 14548, DOI 10.1090/S0002-9904-1945-08413-4
  • H. Bateman, The derivation of Euler’s equations from a variational principle, Rev. Ci. (Lima) 47 (1945), 111–117. MR 12972
  • H. Bateman and C. L. Pekeris, Transmission of light from a point source in a medium bounded by diffusely reflecting parallel plane surfaces, J. Opt. Soc. Amer. 35 (1945), 651–657. MR 13634, DOI 10.1364/JOSA.35.000651
  • H. Bateman, Some integral equations of potential theory, J. Appl. Phys. 17 (1946), 91–102. MR 14579, DOI 10.1112/plms/s2-7.1.70
Additional Information
  • Journal: Bull. Amer. Math. Soc. 54 (1948), 88-103
  • DOI: https://doi.org/10.1090/S0002-9904-1948-08955-8
  • MathSciNet review: 1565018