ON A NEW CLASS RELATED TO LEGENDRE AND GENERALIZED GOULD HOPPER POLYNOMIALS

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.