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- Math. Comp. 21 (1967), 258-292 Request permission
Addendum: Math. Comp. 22 (1968), 249.
References
- A. Fletcher, J. C. P. Miller, L. Rosenhead, and L. J. Comrie, An index of mathematical tables. Vol. I: Introduction. Part I: Index according to functions, 2nd ed., Published for Scientific Computing Service Ltd., London, by Addison-Wesley Publishing Co., Inc., Reading, Mass., 1962. MR 0142796 L. Potin, Formules et Tables Numériques, Gauthier-Villars, Paris, 1925. K. Hayashi, Fünfstellige Funktionentafeln, Springer, Berlin, 1930. Kōki Takahashi & Masaaki Sibuya, “Statistics of the digits of $\surd n$,” Jōhō Shori (Information Processing), v. 6, 1965, pp. 221–223. (Japanese) (See also the next review here.) Kōki Takahashi & Masaaki Sibuya, “Statistics of the digits of $\surd n$,” Jōhō Shori (Information Processing), v. 6, 1965, pp. 221–223. (Japanese) H. S. Uhler, “Many-figure approximations to $\surd 2$, and distribution of digits in $\surd 2$ and $1/\surd 2$,” Proc. Nat. Acad. Sci. U. S. A., v. 37, 1951, pp. 63–67. H. S. Uhler, “Approximations exceeding 1300 decimals for $\surd 3$, $1/\surd 3$, $\sin (\pi /3)$ and distribution of digits in them,” ibid., pp. 443–447. M. Lal, Expansion of $\surd 2$ to 19600 Decimals, ms. deposited in the UMT file. (See Math. Comp., v. 21, 1967, pp. 258–259, RMT 17.) A. J. C. Cunningham, Quadratic Partitions, Hodgson, London, 1904.
- H. Davenport, The higher arithmetic: An introduction to the theory of numbers, Harper Torchbooks/The Science Library, Harper & Brothers, New York, 1960. MR 0109802
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- Daniel Shanks, A sieve method for factoring numbers of the form $n^{2}+1$, Math. Tables Aids Comput. 13 (1959), 78–86. MR 105784, DOI 10.1090/S0025-5718-1959-0105784-2
- M. F. Jones, M. Lal, and W. J. Blundon, Statistics on certain large primes, Math. Comp. 21 (1967), 103–107. MR 220655, DOI 10.1090/S0025-5718-1967-0220655-3 M. Kraitchik, “Les grand nombres premiers,” Sphinx, v. 8, 1938, pp. 82–86. N. G. W. H. Beeger, Tafel van den kleinsten factor de getallen van 999 999 000-1 000 119 120, etc., deposited in the UMT file and reviewed in UMT 68, Math. Comp., v. 20, 1966, p. 456.
- L. D. Baumert and H. Fredricksen, The cyclotomic numbers of order eighteen with applications to difference sets, Math. Comp. 21 (1967), 204–219. MR 223322, DOI 10.1090/S0025-5718-1967-0223322-5 T. Yamanouchi, Proc. Phys.-Math. Soc. Japan, v. 18, 1936, p. 623. T. Inui & S. Yanagawa, Representation of Groups and Quantum Mechanics of Atoms and Molecules, 2nd ed., Shohkabo, Tokyo, 1955.
- Morton Hamermesh, Group theory and its application to physical problems, Addison-Wesley Series in Physics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1962. MR 0136667 S. Katsura, “Tables of representations of permutation groups for molecular integrals,” J. Chem. Phys., v. 38, 1963, p. 3033. Tables of Jacobi Elliptic Functions, ms. prepared by the Project for Computation of Mathematical Tables, New York City; printed for limited distribution, Washington, D. C., 1942. (See MTAC, v. 1, 1943–1945, pp. 125–126, UMT 12; ibid., p. 425, RMT 207.)
- L. M. Milne-Thomson, Jacobian elliptic function tables, Dover Publications, Inc., New York, N.Y., 1950. MR 0088071 G. W. Spenceley & R. M. Spenceley, Smithsonian Elliptic Functions Tables (Smithsonian Miscellaneous Collections, v. 109), Smithsonian Institution, Washington, D. C., 1947. (See MTAC, v. 3, 1948–1949, pp. 89–92, RMT 485.)
- J. C. P. Miller, Note on the general solution of the confluent hypergeometric equation, Math. Tables Aids Comput. 11 (1957), 97–99. MR 86393, DOI 10.1090/S0025-5718-1957-0086393-9 A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York, 1953.
- L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960. MR 0107026
- A. R. DiDonato and M. P. Jarnagin, A method for computing the circular coverage function, Math. Comp. 16 (1962), 347–355. MR 148161, DOI 10.1090/S0025-5718-1962-0148161-0
- H. Leon Harter, Circular error probabilities, J. Amer. Statist. Assoc. 55 (1960), 723–731. MR 144403, DOI 10.1080/01621459.1960.10483372
- Henry E. Fettis and James C. Caslin, Ten place tables of the Jacobian elliptic functions. Part I, Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, Ohio, 1965. Report No. ARL 65-180. MR 0201684 Henry E. Fettis & James C. Caslin, Elliptic Integral of the First Kind and Elliptic Integral of the Second Kind, ms. tables deposited in the UMT file. (See Math. Comp., v. 20, 1966, pp. 626, RMT 99.)
- Henry E. Fettis and James C. Caslin, Ten place tables of the Jacobian elliptic functions. Part I, Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, Ohio, 1965. Report No. ARL 65-180. MR 0201684 Math. Comp., v. 20, 1966, p. 639, MTE 398.
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
- P. Concus, D. Cassatt, G. Jaehnig, and E. Melby, Tables for the evaluation of $\int _{0}^{\infty } x^{\beta }e^{-x}f(x)dx$ by Gauss-Laguerre quadrature, Math. Comp. 17 (1963), 245–256. MR 158534, DOI 10.1090/S0025-5718-1963-0158534-9 P. Concus, “Additional tables for the evaluation of $\int _0^\infty {{x^\beta }} {e^{ - x}}f(x)dx$ by Gauss-Laguerre quadrature,” Math. Comp., v. 18, 1964, p. 523.
- T. S. Shao, T. C. Chen, and R. M. Frank, Tables of zeros and Gaussian weights of certain associated Laguerre polynomials and the related generalized Hermite polynomials, Math. Comp. 18 (1964), 598–616. MR 166397, DOI 10.1090/S0025-5718-1964-0166397-1
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312 L. N. Osipova & S. A. Tumarkin, Tables for the Calculation of Toroidal Shells, Akad. Nauk SSSR, Moscow, 1963. (See Math. Comp., v. 18, 1964, pp. 677–678.)
- S. A. Tumarkin, Asymptotic solution of a linear non-homogeneous second order differential equation with a transition point and its application to the computations of toroidal shells and propeller blades, J. Appl. Math. Mech. 23 (1959), 1549–1565. MR 0114975, DOI 10.1016/0021-8928(59)90011-5
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
- Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
- R. S. Scorer, Numerical evaluation of integrals of the form $I=\int ^{x_2}_{x_{1}}f(x)e^{i\phi (x)}dx$ and the tabulation of the function $\textrm {Gi} (z)=(1/\pi )\int ^\infty _0\textrm {sin}(uz+\frac 13 u^3)du$, Quart. J. Mech. Appl. Math. 3 (1950), 107–112. MR 37604, DOI 10.1093/qjmam/3.1.107
- M. Rothman, The problem of an infinite plate under an inclined loading, with tables of the integrals of $\rm {Ai}(\pm x)$ and $\rm {Bi}(\pm x)$, Quart. J. Mech. Appl. Math. 7 (1954), 1–7. MR 60682, DOI 10.1093/qjmam/7.1.1
- M. Rothman, The problem of an infinite plate under an inclined loading, with tables of the integrals of $\rm {Ai}(\pm x)$ and $\rm {Bi}(\pm x)$, Quart. J. Mech. Appl. Math. 7 (1954), 1–7. MR 60682, DOI 10.1093/qjmam/7.1.1 Harvard University Computation Laboratory, Annals, Vol. 2, Tables of the Modified Hankel Functions of Order One-Third and Their Derivatives, Harvard Univ. Press, Cambridge, Mass., 1945. (See MTAC, v. 2, 1946, pp. 176–177.) K. Singh, J. F. Lumley & R. Betchov, Modified Hankel Functions and their Integrals to Argument 10, Engineering Research Bulletin B-87, The Pennsylvania State University, University Park, Penn., 1963. (See Math. Comp., v. 18, 1964, p. 522.)
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 258-292
- DOI: https://doi.org/10.1090/S0025-5718-67-99891-2