Preprint Article Version 1 This version is not peer-reviewed

Certain Generating Matrix Functions of Charlier Matrix Polynomials Using Weisner's Group Theoretic Method

Version 1 : Received: 3 July 2019 / Approved: 4 July 2019 / Online: 4 July 2019 (17:47:40 CEST)

How to cite: Shehata, A. Certain Generating Matrix Functions of Charlier Matrix Polynomials Using Weisner's Group Theoretic Method. Preprints 2019, 2019070084 (doi: 10.20944/preprints201907.0084.v1). Shehata, A. Certain Generating Matrix Functions of Charlier Matrix Polynomials Using Weisner's Group Theoretic Method. Preprints 2019, 2019070084 (doi: 10.20944/preprints201907.0084.v1).

Abstract

The present paper discusses a study of a class of Charlier matrix polynomials and its generalized analogue. Certain generating matrix functions, recurrence matrix relations, matrix differential equation, summation formulas and many new results have been discussed for these matrix polynomials. Weisner's group theoretic method is used to obtain matrix generating relations for Charlier matrix polynomials and the details of this method were given in this paper. Finally, we will discuss only briefly the procedure followed.

Subject Areas

Charlier matrix polynomials; generating matrix functions; Charlier matrix differential equations; Lie algebra

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