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OPERATIONAL IDENTITIES FOR HERMITE-PSEUDO LAGUERRE TYPE MATRIX POLYNOMIALS AND THEIR APPLICATIONS

Bin-Saad, Maged G.;Pathan, M.A.

  • Received : 2017.10.15
  • Accepted : 2019.01.28
  • Published : 2019.03.25

Abstract

In this work, it is shown that the combination of operational techniques and the use of the principle of quasi-monomiality can be a very useful tool for a more general insight into the theory of matrix polynomials and for their extension. We explore the formal properties of the operational rules to derive a number of properties of certain class of matrix polynomials and discuss the operational links with various known matrix polynomials.

Keywords

Hermite matrix polynomials;pseudo Laguerre matrix polynomials;Lower- ing operators;Raising operators;Quasi-monomiality;operational rules