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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Rational approximations to generalized hypergeometric functions
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by Jerry L. Fields PDF
Math. Comp. 19 (1965), 606-624 Request permission
References
  • Richard Bellman, On approximate expressions for the exponential integral and the error function, J. Math. Physics 30 (1952), 226–231. MR 0046131
  • Yudell L. Luke, On economic representations of transcendental functions, J. Math. and Phys. 38 (1959/60), 279–294. MR 112984
    • C. Lanczos, "Trigonometric interpolation of empirical and analytical functions," J. Math. and Phys., v. 17, 1938, pp. 123–199. C. Lanczos, Tables of Chebyshev Polynomials ${S_n}(x)$ and ${C_n}(x)$, National Bureau of Standards, AMS9, December, 1952.
  • Cornelius Lanczos, Applied analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1956. MR 0084175
  • 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
    • A. Erdélyi, et al., Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953. MR 15, 419. E. W. Barnes, "The asymptotic expansion of integral functions defined by generalized hypergeometric series," Proc. London Math. Soc. (2), v. 5, 1907, pp. 59–116.
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • Jerry L. Fields and Yudell L. Luke, Asymptotic expansions of a class of hypergeometric polynomials with respect to the order, J. Math. Anal. Appl. 6 (1963), 394–403. MR 148950, DOI 10.1016/0022-247X(63)90020-9
  • Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295
  • Jerry L. Fields and Yudell L. Luke, Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. II, J. Math. Anal. Appl. 7 (1963), 440–451. MR 157015, DOI 10.1016/0022-247X(63)90066-0
  • C. S. Meijer, On the $G$-function. I, Nederl. Akad. Wetensch., Proc. 49 (1946), 227–237 = Indagationes Math. 8, 124–134 (1946). MR 17452
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 606-624
  • MSC: Primary 33.20
  • DOI: https://doi.org/10.1090/S0025-5718-1965-0194620-7
  • MathSciNet review: 0194620