Double Integrals Involving Generalized Hyper-geometric Function and Its Applications

Authors

  • Ganesh Bahadur Basnet Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
  • Resham Prasad Paudel Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Nepal

DOI:

https://doi.org/10.3126/nmsr.v41i2.73227

Keywords:

Hyper-geometric Function, Gamma function, Gauss’s Theorem, Watson’s Theorem, Dixon’s Theorem, Whipple’s Theorem, Dougal’s Theorem, Double Integration

Abstract

This work aims to evaluate double integrals involving generalized hypergeometric functions.The integration of generalized hypergeometric functions, which extends the classical Gauss hypergeometric function pFq plays a crucial role in various areas of mathematical analysis. We explore both definite and indefinite double integrals, highlighting special cases where the results can be expressed in simple form. These integrals offer valuable insights into the structure and properties of the hypergeometric function, with potential implications for various areas ofmathematical analysis.

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Published

2024-12-31

How to Cite

Basnet, G. B., Pahari, N. P., & Paudel, R. P. (2024). Double Integrals Involving Generalized Hyper-geometric Function and Its Applications. The Nepali Mathematical Sciences Report, 41(2), 79–89. https://doi.org/10.3126/nmsr.v41i2.73227

Issue

Vol. 41 No. 2 (2024)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report