SOME RESULTS ON HYBRID RELATIVES OF THE SHEFFER POLYNOMIALS VIA OPERATIONAL RULES.

The intended objective of this paper is to introduce a new class of polynomials, namely the extended Laguerre-Gould-Hopper-Sheffer polynomials. The generating function and operational rule are derived by making use of integral transform. Their quasi-monomial properties and determinant forms are also established. Examples of certain members belonging to the extended Laguerre-Gould-Hopper-Sheffer polynomials are constructed and their corresponding results are established. [ABSTRACT FROM AUTHOR]