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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.

 

The asymptotic expansion of a hypergeometric function $_{2}F_{2}(1, \alpha ; \rho _{1}, \rho _{2}; \ z)$
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by Shoon K. Kim PDF
Math. Comp. 26 (1972), 963 Request permission

Abstract:

The asymptotic expansion of a hypergeometric function $_2{F_2}(1,\alpha ;{\rho _1},{\rho _2};z)$ is given in terms of hypergeometric functions $_2{F_0}({z^{ - 1}})$ and $_3{F_1}({z^{ - 1}})$.
References
    Shoon K. Kim, J. Chem. Phys., v.46, 1967, p. 123.
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • Yudell L. Luke, The special functions and their approximations, Vol. I, Mathematics in Science and Engineering, Vol. 53, Academic Press, New York-London, 1969. MR 0241700
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 963
  • MSC: Primary 65D20; Secondary 33A30
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0314235-0
  • MathSciNet review: 0314235