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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Math. Comp. 22 (1968), 212-243 Request permission
References
  • Tables of Lagrangian Interpolation Coefficients, Columbia University Press, New York, 1944. Technical Director: Arnold N. Lowan. MR 0010053
  • Herbert E. Salzer & Charles H. Richards, Tables for Non-linear Interpolation, 1961. Copy deposited in UMT file. (See Math. Comp., v. 16, 1962, p. 379, RMT 31.) A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.
  • A. Erdélyi, Inversion formulae for the Laplace transformation, Philos. Mag. (7) 34 (1943), 533–537. MR 8434, DOI 10.1080/14786444308521410
  • A. Erdélyi, Note on an inversion formula for the Laplace transformation, J. London Math. Soc. 18 (1943), 72–77. MR 9066, DOI 10.1112/jlms/s1-18.2.72
  • F. G. Tricomi, "Transforzione di Laplace e polinomi di Laguerre," Rend. Accad. Naz. dei XL, (6), v. 13, pp. 232–239, 420–426.
  • Herbert E. Salzer, Equally-weighted quadrature formulas for inversion integrals, Math. Tables Aids Comput. 11 (1957), 197–200. MR 90123, DOI 10.1090/S0025-5718-1957-0090123-4
  • Herbert E. Salzer, Tables for the numerical calculation of inverse Laplace transforms, J. Math. and Phys. 37 (1958), 89–109. MR 102907, DOI 10.1002/sapm195837189
  • Herbert E. Salzer, Additional formulas and tables for orthogonal polynomials originating from inversion integrals, J. Math. and Phys. 40 (1961), 72–86. MR 129576, DOI 10.1002/sapm196140172
  • Yudell L. Luke, Rational approximations to the exponential function, J. Assoc. Comput. Mach. 4 (1957), 24–29. MR 92892, DOI 10.1145/320856.320862
  • Y. L. Luke, On the approximate inversion of some Laplace forms, Proc. 4th U.S. Nat. Congr. Appl. Mech. (Univ. California, Berkeley, Calif., 1962) Amer. Soc. Mech. Engrs., New York, 1962, pp. 269–276. MR 0154064
  • Yudell L. Luke, Approximate inversion of a class of Laplace transforms applicable to supersonic flow problems, Quart. J. Mech. Appl. Math. 17 (1964), 91–103. MR 162461, DOI 10.1093/qjmam/17.1.91
  • Wyman Fair, Padé approximation to the solution of the Ricatti equation, Math. Comp. 18 (1964), 627–634. MR 169380, DOI 10.1090/S0025-5718-1964-0169380-5
  • A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vols. 1, 2, McGraw-Hill, New York, 1953.
  • G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • M. Lal, Expansion of $\surd 2$ to 19600 Decimals, reviewed in Math. Comp., v. 21, 1967, pp. 258–259, RMT 17.
  • Jean Peters, Eight-place tables of trigonometric functions for every second of arc, Chelsea Publishing Co., New York, 1963. With an appendix on the computation to twenty places. MR 0159039
  • 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
  • K. Pearson, Tables of the Incomplete $\Gamma$-Function, H. M. Stationery Office, London, 1922; reissued by Biometrika Office, University College, London, 1934.
  • H. O. Hartley and E. S. Pearson, Tables of the $\chi ^2$-integral and of the cumulative Poisson distribution, Biometrika 37 (1950), 313–325. MR 38024, DOI 10.1093/biomet/37.3-4.313
  • E. C. Molina, Poisson’s Exponential Binomial Limit. Table I: Individual Terms. Table II: Cumulated Terms, D. Van Nostrand Co., Inc., New York, 1942. MR 0006638
  • T. Kitigawa, Tables of Poisson Distributions, Baifukan, Tokyo, 1951. Joyce Weil, Tadepalli S. Murty & Desiraju B. Rao, "Zeros of ${J_n}(\lambda ){Y_n}(\eta \lambda ) - {J_n}(\eta \lambda ){Y_n}(\lambda )$, " Math. Comp., v. 21, 1967, pp. 722–727.
  • 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 and James C. Caslin, Eigenvalues and eigenvectors of Hilbert matrices of order $3$ through $10$, Math. Comp. 21 (1967), 431–441. MR 223075, DOI 10.1090/S0025-5718-1967-0223075-0
  • V. M. Beliakov, R. I. Kravtssova & M. G. Rappaport, Tablitsy ellipticheskikh integralov, Tom I, Izdatel’stvo Akademii Nauk SSSR, Moscow, 1962. (See Math. Comp., v. 18, 1964, pp. 676–677, RMT 93; v. 19, 1965, p. 694, RMT 127.) F. A. Paxton & J. E. Rollin, Tables of the Incomplete Elliptic Integrals of the First and Third Kind, Curtiss-Wright Corporation, Research Division, Quehanna, Pa., June 1959. (See Math. Comp., v. 14, 1960, pp. 209–210, RMT 33.) Henry E. Fettis & James C. Caslin, Tables of Elliptic Integrals of the First, Second, and Third Kind, Applied Mathematics Research Laboratory Report ARL 64–232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio, December 1964. (See Math. Comp., v. 19, 1965, p. 509, RMT 81. For errors, see Math. Comp., v. 20, 1966, pp. 639–640, MTE 398.)
  • Wacław Sierpiński, Elementary theory of numbers, Monografie Matematyczne, Tom 42, Państwowe Wydawnictwo Naukowe, Warsaw, 1964. Translated from Polish by A. Hulanicki. MR 0175840
  • G. H. Hardy & E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., 1960, reprinted 1965, p. 16.
  • Donald B. Gillies, Three new Mersenne primes and a statistical theory, Math. Comp. 18 (1964), 93–97. MR 159774, DOI 10.1090/S0025-5718-1964-0159774-6
  • Horace S. Uhler, A brief history of the investigations on Mersenne numbers and the latest immense primes, Scripta Math. 18 (1952), 122–131. MR 50512
  • Horace S. Uhler, On the 16th and 17th perfect numbers, Scripta Math. 19 (1953), 128–131. MR 57266
  • A. S. Anema, UMT 106, MTAC, v. 4, 1950, p. 224. A. S. Anema, UMT 111, MTAC, v. 5, 1951, p. 28. A. S. Anema & F. L. Miksa, UMT 107, MTAC, v. 4, 1950, p. 224. F. L. Miksa, UMT 133, MTAC, v. 5, 1951, p. 232. M. Lal, Expansion of $\surd 2$ to 19600 Decimals, reviewed in Math. Comp., v. 21, 1967, pp. 258–259, UMT 17. KoKi Takahashi & Masaaki Sibuya, The Decimal and Octal Digits of $\surd n$, reviewed in Math. Comp., v. 21, 1967, pp. 259–260, UMT 18. M. Lal, Expansion of $\surd 3$ to 19600 Decimals, reviewed in Math. Comp., v. 21, 1967, p. 731, UMT 84. M. Lal, First 39000 Decimal Digits of $\surd 2$, reviewed in Math. Comp., v. 22, 1968, p. 226, UMT 12. Francis L. Miksa, "A table of integral solutions of ${A^2} + {B^2} + {C^2} = {R^2}$, etc.," UMT 82, MTAC, v. 9, 1955, p. 197. Leonard Eugene Dickson, History of the Theory of Numbers, Volume II, Chapter VII, Stechert, New York, 1934.
  • L. J. Lander, T. R. Parkin, and J. L. Selfridge, A survey of equal sums of like powers, Math. Comp. 21 (1967), 446–459. MR 222008, DOI 10.1090/S0025-5718-1967-0222008-0
  • K. B. Krohn and J. L. Rhodes, Algebraic theory of machines, Proc. Sympos. Math. Theory of Automata (New York, 1962) Polytechnic Press of Polytechnic Inst. of Brooklyn, Brooklyn, N.Y., 1963, pp. 341–384. MR 0175718
  • H. P. Zeiger, Loop-free Synthesis of Finite State Machines, Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, 1964. Ann Penton, Algebraic Study of Sequential Machine Decomposition, Master’s Thesis, Wesleyan University, Middletown, Conn., 1967.
Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 212-243
  • DOI: https://doi.org/10.1090/S0025-5718-68-99883-9