On Some Applications of Generalized Meijer G-Functions

Authors

  • Syed Ali Haider Shah Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
  • Imran Siddique Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah, 64001, Iraq
  • Ibtehal Alazman Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh , Saudi Arabia
  • Ilyas Khan Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6194

Keywords:

Algorithms, Meijer G-function, Generalized Meijer G - function, Gauss hypergeometric function, Confluent hypergeometric function

Abstract

In recent few years, the researchers are investigating many generalization and extension of special functions because of their applicability in various fields of study especially in mathematical modeling. Keeping in view some summations involving generalized Meijer G-functions in k-form for different combination of parameters have been investigated in this paper. By using contour integral approach and generalized hypergeometric k-functions we derived some new relations and identities. By taking k = 1, we can obtain the classical form of the derived results. Some important applications of generalized Meijer G-functions to the generalized hypergeometric functions have also been considered. The main objective of this paper is to give some useful computational techniques to tackle with the applications related to generalized Meijer G-functions in different mathematical and physical problems, also connect them with some generalized special functions.

Author Biography

  • Ilyas Khan, Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India
    1. Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India 2. Hourani Center for Applied scientific Research, Al-Ahliyya Amman University, Amman, Jordan 3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematics Education

License

Copyright (c) 2025 Syed Ali Haider Shah, Imran Siddique, Ibtehal Alazman, Ilyas Khan

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How to Cite

On Some Applications of Generalized Meijer G-Functions. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6194. https://doi.org/10.29020/nybg.ejpam.v18i4.6194