Malaysian Journal of Mathematical Sciences, September 2015, Vol. 9, No. 3
Some Relations on Laguerre Matrix Polynomials
Ayman Shehata
Corresponding Email: drshehata2006@yahoo.com
Received date: -
Accepted date: -
Abstract:
The main object of this paper is to give a different approach to proof of generating matrix functions for Laguerre matrix polynomials. We also obtain the hypergeometric matrix representations, addition theorem, finite summation formula and an integral representation for Laguerre matrix polynomials. We get the relations between Laguerre, Legendre and Hermite matrix polynomials. We get the generating matrix functions for the Laguerre matrix polynomials, involving the Horn's and hypergeometric matrix functions. Finally, we define a new generalization of the Laguerre matrix polynomials with the hypergeometric matrix function.
Keywords: Matrix functions, Laguerre, Legendre and Hermite matrix polynomials, Hypergeometric matrix functions, Generating matrix function, Finite summation, Integral representation
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