Open AccessOn Matrix polynomials associated with Hermite polynomials
Author(s) -
Maged G. Bin-Saad,
M. A. Pathan,
Fadhl Al-Sarhi
Publication year - 2015
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.46.2015.1722
Subject(s) - mathematics , classical orthogonal polynomials , discrete orthogonal polynomials , gegenbauer polynomials , chebyshev polynomials , polynomial matrix , wilson polynomials , orthogonal polynomials , difference polynomials , hermite polynomials , legendre polynomials , sylvester matrix , hahn polynomials , pure mathematics , matrix (chemical analysis) , variable (mathematics) , algebra over a field , mathematical analysis , matrix polynomial , polynomial , materials science , composite material
In this paper, an extension of the Hermite matrix polynomials is introduced. Some relevant matrix functions appear in terms of the two-index and two-variable and p-index and p-variable Hermite matrix polynomials. Furthermore, in order to give qualitative properties of this family of matrix polynomials, the Legendre and Chebyshev matrix polynomials of sveral variables are introduced.