Product of two 2F2 Generalized Hyper-geometric Functions and their Special Cases

Authors

  • Madhav Prasad Poudel School of Engineering, Pokhara University, Pokhara-30, Kaski, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
  • Dinesh Panthi Department of Mathematics, Valmiki Bidhypith, Nepal Sanskrit University, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/nmsr.v41i2.73231

Keywords:

Hyper-geometric series, Generalized hyper-geometric function, Kummer’s type I transformation, Kummer’s type II transformation, Product

Abstract

A remarkable number of identities have been established related to the product of generalized hypergeometric series in recent years. In the present work, we shall establish certain identities involving the product of two generalized hypergeometric functions. Bailey’s theorem is used to evaluate the particular cases for the product.

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Published

2024-12-31

How to Cite

Poudel, M. P., Pahari, N. P., & Panthi, D. (2024). Product of two 2F2 Generalized Hyper-geometric Functions and their Special Cases. The Nepali Mathematical Sciences Report, 41(2), 122–133. https://doi.org/10.3126/nmsr.v41i2.73231

Issue

Vol. 41 No. 2 (2024)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report