STUDY OF TWO VARIABLE LAGUERRE MATRIX POLYNOMIALS VIA SYMBOLIC OPERATIONAL IMAGES
MAGED G. BIN-SAAD *
Department of Mathematics, Aden University, Kohrmakssar P.O.Box 6014, Aden, Yemen.
ANTAR ALI Al-SAYAAD *
Department of Mathematics, Aden University, Kohrmakssar P.O.Box 6014, Aden, Yemen.
*Author to whom correspondence should be addressed.
Abstract
It is shown that an appropriate combination of methods, relevant to operational calculus and to matrix polynomials, can be a very useful tool to establish and treat a new class of two variable Laguerre matrix polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class two variable Laguerre matrix polynomials and discuss the links with various known polynomials.
Keywords: Laguerre matrix polynomials, operational images, functional relations, dierential matrix equations