A New Derivation of Extended Watson Summation Theorem with an Application

Authors

  • Resham Prasad Paudel Department of Mathematics, Tribhuvan University, Tri-Chandra Multiple Campus, Kathmandu, Nepal
  • Harsh Vardan Harsh Parul Institute of Technology, Parul University, Vadodhara, Limda, Gujarat, India
  • Madhav Prasad Poudel School of Engineering, Pokhara University, Pokhara, Nepal
  • Ganesh Bahadur Basnet Department of Mathematics, Tribhuvan University, Tri-Chandra Multiple Campus, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/jnms.v8i2.88068

Keywords:

Generalized hypergeometric function, Watsen theorem, Extended Watson theorem, Gauss theorem

Abstract

In this research article, we aim to provide a new proof of the extended Watson summation theorem for the series 4F3 obtained earlier by Kim et al. As an application, we evaluate four interesting integrals involving generalised hypergeometric function.

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Published

2025-12-28

How to Cite

Paudel, R. P., Harsh, H. . V., Poudel, M. P., & Basnet, G. B. (2025). A New Derivation of Extended Watson Summation Theorem with an Application. Journal of Nepal Mathematical Society, 8(2), 67–72. https://doi.org/10.3126/jnms.v8i2.88068

Issue

Vol. 8 No. 2 (2025)

Section

Articles

License

© Nepal Mathematical Society