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<p>The present paper discusses a study of a class of Charlier matrix polynomials (CMPs) 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.</p>

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Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method

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  • 发表日期：

    2026年3月23日

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  • Ayman Shehata

摘要

The present paper discusses a study of a class of Charlier matrix polynomials (CMPs) 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.