Novel reductions of Kampé de Férriet function

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Publicado: 2020-01-08
DOI: https://doi.org/10.71712/mcjd-kw64
Palabras clave:
generalized hypergeometric function, Triple series, Lauricella hypergeometric function, Kampé de Férriet function, Srivasta Daoust double hypergeometric function

Contenido principal del artículo

Tibor K. Pogány
Faculty od Maritime Studies, University of Rijeka, 51000 Rijeka, Croatia; Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary.
https://orcid.org/0000-0002-4635-8257 (no autenticado)
Arjun Kumar Rathie
Department of Mathematics, Vedant College of Engineering and Technology, (Rajasthan Technical University), Bundi 323021, Rajasthan, India.

Resumen

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.

Detalles del artículo

Número

Vol. 30 (2020)

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Articles
Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

Pogány, T. K., & Kumar Rathie, A. (2020). Novel reductions of Kampé de Férriet function. Scientia, 30, 27-41. https://doi.org/10.71712/mcjd-kw64