An Integral Involving Generalized Hypergeometric Function

Authors

  • Ganesh Bahadur Basnet Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University,Kirtipur, Kathmandu, Nepal
  • Resham Prasad Paudel Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal
  • Madhav Prasad Poudel School of Engineering, Pokhara University, Pokhara, Kaski, Nepal
  • Mukesh Sharma Department of Mathematics, M. L. B. Government College, Nokha, Rajasthan, India

DOI:

https://doi.org/10.3126/njmathsci.v5i1.76446

Keywords:

Generalized hypergeometric function, Finite integral, Watson theorem, Pochhammer symbol

Abstract

In this article, we have evaluated an integral involving a generalized hypergeometric function. This is achieved by employing a summation formula for the series 4F3 obtained earlier by Choi and Rathie [3]. A few special cases have also been given. The result provided in this note is simple, interesting, easily established, and may be useful.

2020 Mathematical subject classification: Primary: 05A15, 33C05, Secondary: 33C15, 33C20

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Published

2024-02-19

How to Cite

Basnet, G. B., Pahari, N. P., Paudel, R. P., Poudel, M. P., & Sharma, M. (2024). An Integral Involving Generalized Hypergeometric Function. Nepal Journal of Mathematical Sciences, 5(1), 1–6. https://doi.org/10.3126/njmathsci.v5i1.76446

Issue

Vol. 5 No. 1 (2024)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University