Operational rules and arbitrary order two-index two-variable Hermite matrix generating functions

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

M. S. Metwally¹ 

[1] Suez Canal University

关键词: Operators;    Transfer operators;    Matrix functions;    Hermite matrix polynomials;    Hermite matrix differential equation;    Generating functions;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

The main aim of this paper is to introduce generalized forms of operational rules associated with operators corresponding to a generalized Hermite matrix polynomials expansions. The associated generating functions is reformulated within the framework of an operational formalism and the theory of exponential operators. We obtain to unilateral and bilateral generating functions by using the same procedure. Possible extensions of the technique are also discussed.

【 授权许可】

Unknown