Generalized Mittag-Leffler Matrix Function and Associated Matrix Polynomials

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Authors

  • Reshma Sanjhira
     ,IN
  • B. V. Nathwani
     ,IN
  • B. I. Dave
     ,IN

DOI:

https://doi.org/10.18311/jims/2019/22577

Keywords:

Mittag-Leffler Matrix Function, Matrix Differential Equation, Generalized Konhauser Matrix Polynomial, Generating Function.

Abstract

The Mittag-Leffler function has been found useful in solving certain problems in Science and Engineering. On the other hand, noticing the occurrence of certain matrix functions in Special functions' theory in general and in Statistics and Lie group theory in particular, we introduce here a matrix analogue of a recently generalized form of Mittag-Leffler function. This function yields the matrix analogues of the Saxena-Nishimoto's function, Bessel-Maitland function, Dotsenko function and the Elliptic Function. We obtain matrix differential equation and eigen matrix function property for the proposed matrix function. Also, a generalized Konhauser matrix polynomial is deduced and its inverse series relations and generating function are derived.

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Published

2018-12-12

How to Cite

Sanjhira, R., Nathwani, B. V., & Dave, B. I. (2018). Generalized Mittag-Leffler Matrix Function and Associated Matrix Polynomials. The Journal of the Indian Mathematical Society, 86(1-2), 161–178. https://doi.org/10.18311/jims/2019/22577

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 Reshma Sanjhira, B. V. Nathwani, B. I. Dave

Creative Commons License

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

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