ON GENERALIZED HERMITE MATRIX POLYNOMIALS
By K. Sayyed, M. S. Metwally, R. S. Batahan. 2003
49 citations recorded by the source corpus.
In this paper a new generalization ofthe Hermite matrix polynomials is given. An explicit representation and an expansion ofthe matrix exponential in a series ofthese matrix polynomials is obtained. Some recurrence relations, in particular the three terms recurrence relation, are given for these matrix polynomials. It is proved that the generalized Hermite matrix polynomials satisfy a matrix differential equation.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6f1727915f8aefa08c1331b18394868cd6cf2469
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In Applied Mathematics
In Statistical and Nonlinear Physics
Citations in the corpus
- A new extension of Hermite matrix polynomials and its applications (2006, background): “given in [4,5,9,10] and a generalized form of the Hermite matrix polynomials has been introduced and studied in [14].”
- Special matrix functions: characteristics, achievements and future directions (2018, background): “Moreover, some properties of the Hermite matrix polynomials and generalizations for the Hermite matrix polynomials have been introduced in [16,21,50,80,81].”