2-variable Laguerre matrix polynomials and Lie-algebraic techniques
Subuhi Khan, Nader Ali Makboul Hassan · Journal of Physics A Mathematical and Theoretical · 2010
The authors introduce 2-variable forms of Laguerre and modified Laguerre matrix polynomials and derive their special properties. Further, the representations of the special linear Lie algebra sl (2) and the harmonic oscillator Lie algebra are used to derive certain results involving these polynomials. Furthermore, the generating relations for the ordinary as well as matrix polynomials related to these matrix polynomials are derived as applications.