Novel reductions of Kampé de Férriet function

The aim of this article is to provide in all thirty two novel and general reductions of two and three variables generalized hypergeometric functions. This is achieved by the applications of the so-called Beta integral transform method developed by Krattenthaler and Srinivasa Rao, and Gamma integral method to the well known identities involving products of generalized hypergeometric functions. As special cases, we mention a few known as well as unknown interesting results.

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Publication Details

Journal
REVISTAS
Published
2025-09-09
DOI
https://doi.org/10.71712/mcjd-kw64
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Novel reductions of Kampé de Férriet function

REVISTAS
Geochemistry and Geologic Mapping
article

Novel reductions of Kampé de Férriet function

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Abstract

The aim of this article is to provide in all thirty two novel and general reductions of two and three variables generalized hypergeometric functions. This is achieved by the applications of the so-called Beta integral transform method developed by Krattenthaler and Srinivasa Rao, and Gamma integral method to the well known identities involving products of generalized hypergeometric functions. As special cases, we mention a few known as well as unknown interesting results.

REVISTAS
University of Rijeka (HR), Rajasthan Technical University (IN)
Openalex Percentile: Top 48%
Geochemistry and Geologic Mapping
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