Research Abstract
The aim of this paper is to define and study of the Gegenbauer matrix polynomials of two variables. An explicit representation, a three-term matrix recurrence relation, differential recurrence relations and hypergeometric matrix representation for the Gegenbauer matrix polynomials of two variables are given. The Gegenbauer matrix polynomials are solutions of the matrix differential equations and expansion of the Gegenbauer matrix polynomials as series of Hermite and Laguerre matrix polynomials of two variables are established.
Research Department
Research Journal
Bulletin of International mathematical Virtual Institute
Research Member
Research Publisher
NULL
Research Rank
1
Research Vol
2
Research Website
http://www.imvibl.org/buletin/bulletin_imvi_2_2011/bulletin_2_12_29_42.pdf
Research Year
2012
Research Pages
29-42.