On Two Closed Form Evaluations for the Generalized Hypergeometric Functions 3F2(1/16)

Authors

  • Resham Prasad Paudel Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal
  • Ganesh Bahadur Basnet Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal
  • Madhav Prasad Poudel School of Engineering, Pokhara University, Pokhara-30, Kaski, Nepal
  • Arjun Kumar Rathie Department of Mathematics, Vedant College of Engineering & Technology, Bundi, Rajasthan, India

DOI:

https://doi.org/10.3126/njmathsci.v5i2.76628

Keywords:

Generalized hypergeometric functions, Central binomial coefficients, Combinatorial sum

Abstract

The main objective of this note is to provide two closed-form evaluations for the generalized hypergeometric functions with the argument 1/16. This is achieved by means of separating a generalized hypergeometric function 3F2 into even and odd components together with the use of two known sums involving reciprocal of the certain binomial coefficients obtained very recently by Gencev.

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Published

2024-08-01

How to Cite

Paudel, R. P., Pahari, N. P., Basnet, G. B., Poudel, M. P., & Rathie, A. K. (2024). On Two Closed Form Evaluations for the Generalized Hypergeometric Functions 3F2(1/16). Nepal Journal of Mathematical Sciences, 5(2), 7–12. https://doi.org/10.3126/njmathsci.v5i2.76628

Issue

Vol. 5 No. 2 (2024)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University