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Expansions of Hypergeometric Functions in Hypergeometric Functions

Jerry L. Fields and Jet Wimp
Mathematics of Computation
Vol. 15, No. 76 (Oct., 1961), pp. 390-395
DOI: 10.2307/2003028
Stable URL: http://www.jstor.org/stable/2003028
Page Count: 6
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Expansions of Hypergeometric Functions in Hypergeometric Functions
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Abstract

In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions Iν(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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