Derivation Of Ordinary Generating Function And Consequent Orthogonality Property Of Efficient Orthogonal Boubaker Polynomials

Abstract

In this paper, we focus the derivation of an unexplored property of recently introduced efficient orthogonal Boubaker polynomials (EOBPs) – the ordinary generating function (OGF). The derivation of an OGF for the EOBPs opens ways for investigating other classical properties and recurrence relations of the EOBPs. We first discuss the establishment of the OGF for EOBPs followed by its consequent aid in determining complete orthogonalization property of the EOBPs. The orthogonality property is derived based on the developed OGF here. These results can lead to several seminal developments utilizing the application of EOBPs in mathematical sciences and allied fields.