doiSerbia

Certain results of hybrid families of special polynomials associated with appell sequences

Yasmin Ghazala (Department of Applied Mathematics, Aligarh Muslim University, Aligarh, India)
Muhyi Abdulghani (Department of Applied Mathematics, Aligarh Muslim University, Aligarh, India)

In this article, the Legendre-Gould-Hopper polynomials are combined with Appell sequences to introduce certain mixed type special polynomials by using operational method. The generating functions, determinant definitions and certain other properties of Legendre-Gould-Hopper based Appell polynomials are derived. Operational rules providing connections between these formulae and known special polynomials are established. The 2-variable Hermite Kampé de Fériet based Bernoulli polynomials are considered as an member of Legendre-Gould-Hopper based Appell family and certain results for this member are also obtained.

Keywords: Legendre-Gould-Hopper based Appell polynomials, Generating relations, Operational methods, Monomiality principle, Determinant definition