STUDY OF GEGENBAUER MATRIX POLYNOMIALS VIA MATRIX FUNCTIONS AND THEIR PROPERTIES
MUMTAZ AHMAD KHAN
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.
ABDUL HAKIM KHAN
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.
VIRENDER SINGH *
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.
*Author to whom correspondence should be addressed.
Abstract
The present paper deals with a new kind of Gegenbauer matrix polynomials and some special cases. The paper contains a three term matrix recurrence relation, hypergeometric representation, their Rodrigues formula and orthogonal properties.
Keywords: Gamma matrix function, Hypergeometric matrix function, Three term matrix recurrence relation, Gegenbauer matrix differential equation, Gegenbauer matrix polynomials, Orthogonal matrix Polynomials