Vol. 30 (2020)
Articles

Novel reductions of Kampé de Férriet function

Tibor K. Pog´any.
Faculty od Maritime Studies, University of Rijeka, 51000 Rijeka, Croatia; Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary.
Arjun Kumar Rathie
Department of Mathematics, Vedant College of Engineering and Technology, (Rajasthan Technical University), Bundi 323021, Rajasthan, India.
portada

Publicado 2024-07-11

Palabras clave

  • generalized hypergeometric function,
  • SrivastavaDaoust double hypergeometric function,
  • Triple series,
  • Lauricella hypergeometric function,
  • Kampé de Férriet function

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.