Few Theorems on an Extension of Bailey’s Formula Involving Product of Two Generalized Hypergeometric Functions

Authors

  • Resham Prasad Paudel Department of Mathematics, Tribhuvan University, Tri-Chandra Multiple Campus, Kathmandu, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
  • Madhav Prasad Poudel School of Engineering, Pokhara University, Pokhara, Nepal

DOI:

https://doi.org/10.3126/jnms.v7i2.73107

Keywords:

Generalized hypergeometric series, Kummer’s type II transformation, Bailey’s identity, Contiguous results

Abstract

This paper presents an extensive study of the product two generalized hypergeometric functions. Particularly motivated by the papers of Kim et al. and Rakha et al., our aim of this note is to provide two interesting extensions of the well-known Bailey’s formula involving product of two generalized hypergeometric functions. The special cases of our main findings are some well-known results.

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Published

2024-12-31

How to Cite

Paudel, R. P., Pahari, N. P., & Poudel, M. P. (2024). Few Theorems on an Extension of Bailey’s Formula Involving Product of Two Generalized Hypergeometric Functions. Journal of Nepal Mathematical Society, 7(2), 82–89. https://doi.org/10.3126/jnms.v7i2.73107

Issue

Vol. 7 No. 2 (2024)

Section

Articles

License

© Nepal Mathematical Society