Expansions of Hypergeometric Functions in Hypergeometric Functions
- 1 October 1961
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 15 (76) , 390-395
- https://doi.org/10.2307/2003028
Abstract
In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions . 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.Keywords
This publication has 3 references indexed in Scilit:
- Expansion of Hypergeometric Functions in Series of Other Hypergeometric FunctionsMathematics of Computation, 1961
- Expansion of the Confluent Hypergeometric Function in Series of Bessel FunctionsMathematical Tables and Other Aids to Computation, 1959
- AN EXTENSION OF HYPERGEOMETRIC FUNCTIONS (I)The Quarterly Journal of Mathematics, 1943