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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Expansions of hypergeometric functions in hypergeometric functions
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by Jerry L. Fields and Jet Wimp PDF
Math. Comp. 15 (1961), 390-395 Request permission

Abstract:

In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions ${I_v}(z)$. The existence of other, similar expansions implied that more general expansions might exist. Such was the case. Here multiplication type expansions of low-order hypergeometric functions in terms of other hypergeometric functions are generalized by Laplace transform techniques.
References
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Math. Comp. 15 (1961), 390-395
  • MSC: Primary 33.20
  • DOI: https://doi.org/10.1090/S0025-5718-1961-0125992-3
  • MathSciNet review: 0125992