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

Metwally, M. S. (2011) Operational rules and arbitrary order two-index two-variable Hermite matrix generating functions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 27 (1). pp. 41-49. ISSN 0866-0174

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Operators; Transfer operators; Matrix functions; Hermite matrix polynomials; Hermite matrix differential equation; Generating functions
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 02 Feb 2024 11:32
Last Modified: 02 Feb 2024 11:32
URI: http://real.mtak.hu/id/eprint/187157

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