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Mathematics of Computation

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



Expansions of hypergeometric functions in hypergeometric functions

Authors: Jerry L. Fields and Jet Wimp
Journal: Math. Comp. 15 (1961), 390-395
MSC: Primary 33.20
MathSciNet review: 0125992
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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.

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Article copyright: © Copyright 1961 American Mathematical Society