On the extended incomplete exponential matrix functions

Authors

  • 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
  • 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
  • Reshma Sanjhira Department of Mathematical Sciences P. D. Patel Institute of Sciences, Charotar University of Science and Technology Changa, 388421, Dist: Anand, India

Abstract

The primary goal of this paper is to introduce and investigate generalized incomplete exponential functions with matrix parameters. Integral representation, differential formula, addition formula, multiplication formula, and recurrence relation obtained here are believed to be new in the theory of special matrix functions. We also establish the connection between these matrix functions and other matrix functions, such as the incomplete gamma matrix function, the Bessel and modified Bessel matrix functions.

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Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Ashish Verma, Komal Singh Yadav, Reshma Sanjhira

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

On the extended incomplete exponential matrix functions. (2026). Nonlinear Studies, 33(3), 991-1006. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4078