Contiguous Matrix Functions Relation 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
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
Nirmal Srivastava
Department of Mathematics, National P.G. College, Lucknow (U.P.)- 226001
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

Synopsis

Using the Gaussian approach, Mubeen et al. 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. 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.

RAMSA 2024
Published
February 29, 2024