Geodesic
On generalized Hermite matrix polynomials
The electronic journal of linear algebra, Tome 10 (2003), pp. 272-279.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper a new generalization of the Hermite matrix polynomials is given. An explicit representation and an expansion of the matrix exponential in a series of these 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.
Classification : 33C25, 15A60
Keywords: generalized Hermite matrix polynomials, three terms recurrence relation, Hermite matrix differential equation 
@article{ELA_2003__10__a3,
     author = {Sayyed, K. A. M. and Metwally, M. S. and Batahan, Raed S.},
     title = {On generalized {Hermite} matrix polynomials},
     journal = {The electronic journal of linear algebra},
     pages = {272--279},
     publisher = {mathdoc},
     volume = {10},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2003__10__a3/}
}
TY  - JOUR
AU  - Sayyed, K. A. M.
AU  - Metwally, M. S.
AU  - Batahan, Raed S.
TI  - On generalized Hermite matrix polynomials
JO  - The electronic journal of linear algebra
PY  - 2003
SP  - 272
EP  - 279
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2003__10__a3/
LA  - en
ID  - ELA_2003__10__a3
ER  - 
%0 Journal Article
%A Sayyed, K. A. M.
%A Metwally, M. S.
%A Batahan, Raed S.
%T On generalized Hermite matrix polynomials
%J The electronic journal of linear algebra
%D 2003
%P 272-279
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2003__10__a3/
%G en
%F ELA_2003__10__a3
Sayyed, K. A. M.; Metwally, M. S.; Batahan, Raed S. On generalized Hermite matrix polynomials. The electronic journal of linear algebra, Tome 10 (2003), pp. 272-279. http://geodesic.mathdoc.fr/item/ELA_2003__10__a3/