Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

Mohammed H. Al-Lail and Asghar Qadir

Applied Mathematics and Computation, 2015, vol. 263, issue C, 392-397

Abstract: We present a Fourier transform representation of the generalized hypergeometric functions. We then use this representation to evaluate integrals of products of two generalized hypergeometric functions. A number of integral identities for confluent and Gauss hypergeometric functions are presented. The results for Euler’s gamma function are deduced as special cases.

Keywords: Hypergeometric and confluent hypergeometric functions; Generalized hypergeometric function; Kampé de Fériet function; Fourier transform; Parseval’s identity; Distributional representation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:263:y:2015:i:c:p:392-397

DOI: 10.1016/j.amc.2015.04.083

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