Some multiple series identities and their hypergeometric forms

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DOI:

https://doi.org/10.26637/mjm304/015

Abstract

In this paper, we obtain solutions of some multiple series identities involving bounded multiple sequences. We also derive hypergeometric forms of these identities involving Kampé de Fériet double hypergeometric function, Srivastava’s triple hypergeometric function.

Keywords:

Pochhammer Symbol, Bounded Sequences, Multiple Series Identities, Srivastava’s triple double Hypergeometric Function, Kampé de Fériet double Hypergeometric Function

Mathematics Subject Classification:

33B10, 33C05, 33C65
  • Ranjana Shrivastava Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Dhauj, Faridabad, Haryana-121004, India. https://orcid.org/0009-0009-4131-4851
  • Usha Gill Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Dhauj, Faridabad, Haryana-121004, India.
  • Kaleem A. Quraishi Department of Applied Sciences and Humanties, Mewat Engineering College (Waqf), Palla, Nuh, Mewat, Haryana-122107, India.
  • Z. A. Taqvi Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Dhauj, Faridabad, Haryana-121004, India.
  • Pages: 580-586
  • Date Published: 01-10-2015
  • Vol. 3 No. 04 (2015): Malaya Journal of Matematik (MJM)

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Published

01-10-2015

How to Cite

Ranjana Shrivastava, Usha Gill, Kaleem A. Quraishi, and Z. A. Taqvi. “Some Multiple Series Identities and Their Hypergeometric Forms”. Malaya Journal of Matematik, vol. 3, no. 04, Oct. 2015, pp. 580-6, doi:10.26637/mjm304/015.