# A note on modified Hermite matrix polynomials

Volume 22, Issue 4, pp 333--346
Publication Date: September 05, 2020 Submission Date: May 27, 2020 Revision Date: June 30, 2020 Accteptance Date: July 23, 2020
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### Authors

Virender Singh - Department of Applied Mathematics, Galgotias college of Engineering and Technology, Greater Noida, Uttar Pradesh-201306, India. Mumtaz Ahmad Khan - Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India. Abdul Hakim Khan - Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India. Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, 11991, Saudi Arabia.

### Abstract

The main aim of this paper is to investigate the modified Hermite matrix polynomials ${_M}\mathscr{H}{_n}{(\zeta_1,\lambda;\mathscr{A})}$ by finding some important results such as generating functions, recurrence relations, Rodrigues formula, orthogonality conditions, expansion formula, integrals, fractional integrals, fractional derivatives and some other properties.

### Share and Cite

##### ISRP Style

Virender Singh, Mumtaz Ahmad Khan, Abdul Hakim Khan, Kottakkaran Sooppy Nisar, A note on modified Hermite matrix polynomials, Journal of Mathematics and Computer Science, 22 (2021), no. 4, 333--346

##### AMA Style

Singh Virender, Khan Mumtaz Ahmad, Khan Abdul Hakim, Nisar Kottakkaran Sooppy, A note on modified Hermite matrix polynomials. J Math Comput SCI-JM. (2021); 22(4):333--346

##### Chicago/Turabian Style

Singh, Virender, Khan, Mumtaz Ahmad, Khan, Abdul Hakim, Nisar, Kottakkaran Sooppy. "A note on modified Hermite matrix polynomials." Journal of Mathematics and Computer Science, 22, no. 4 (2021): 333--346

### Keywords

• Gamma matrix function
• hypergeometric matrix function
• three term matrix recurrence relation
• modified Hermite matrix differential equation
• modified Hermite matrix polynomials
• orthogonal matrix polynomials

•  33C05
•  33C45
•  33C90

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