Contiguous function relations for the k-Hypergeometric matrix function

Authors

  • Saurabh Bajpai Department of Mathematics\\ Prof. Rajendra Singh (Rajju Bhaiya)\\ Institute of Physical Sciences for Study and Research \\ V. B. S. Purvanchal University, Jaunpur (U.P.)- 222003, India
  • Komal Singh Yadav Department of Mathematics\\ Prof. Rajendra Singh (Rajju Bhaiya)\\ Institute of Physical Sciences for Study and Research \\ V. B. S. Purvanchal University, Jaunpur (U.P.)- 222003, India
  • Nirmal Srivastava Nirmal Srivastava Department of Mathematics\\National P.G. College, Lucknow (U.P.)- 226001, India
  • Ashish Verma Department of Mathematics\\ Prof. Rajendra Singh (Rajju Bhaiya)\\ Institute of Physical Sciences for Study and Research \\ V. B. S. Purvanchal University, Jaunpur (U.P.)- 222003, India

Abstract

Using the Gaussian approach, Mubeen et al.\cite{6} were able to derive fifteen consecutive function relations for $k$-hypergeometric functions with a single parameter. For the $k$-hypergeometric matrix function with one and two parameters, S.Chinra et al. \cite{a} find seventy-two newly discovered and informative contiguous function relations in the same direction.With regard to $k$-hypergeometric matrix functions with two parameters, the objective of this research paper is to get seventy-two brand-new and intriguing contiguous function relations for the $k$-hypergeometric matrix function.

Published

08/30/2025