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A new extension of Hermite-Hermite matrix polynomials and their properties

Research Authors
Ayman Shehata
Research Abstract

The main aim of this paper is to define and study of a new polynomial, say, two-index Hermite-Hermite matrix polynomials. An explicit representation, a matrix recurrence relation and matrix differential equations of these polynomials are presented. A new expansion of the matrix functions for a wide class of matrices in terms of two-index Hermite-Hermite matrix polynomials is proposed.

Research Department
Research Journal
Thai Journal of Mathematics
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 10 No. 2
Research Website
http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/273
Research Year
2012
Research Pages
pp. 433-444