ON A NEW CLASS RELATED TO LEGENDRE AND GENERALIZED GOULD HOPPER POLYNOMIALS
NADER ALI MAKBOUL HASSAN *
Department of Mathematics, Faculty of Education-Hodeidah, University of Hodeidah, P.O.Box 3114, Hodeidah, Yemen
*Author to whom correspondence should be addressed.
Abstract
In this paper, the Legendre and generalized Gould Hopper polynomials are combined to introduce generalized Legendre-Gould Hopper Polynomials by using operational rules. And thus, generating function, series denition, dierential equation and certain other properties of generalized Legendre- Gould Hopper Polynomials are derived. In addition, operational representations and expansion formulae of new polynomials are constructed. Some concluding remarks are also given.
Keywords: Operational rules, generalized Legendre-Gould-Hopper Polynomials, monomiality principle