Extended Laguerre-Appell polynomials via fractional operators and their determinant forms

Authors: SUBUHI KHAN, SHAHID AHMAD WANI

Abstract: In this article, the extended form of Laguerre-Appell polynomials is introduced by means of generating function and operational definition. The corresponding results for the extended Laguerre-Bernoulli and Laguerre-Euler polynomials are obtained as applications. Further, the determinant forms of these polynomials are established by using operational techniques.

Keywords: Appell polynomials, Laguerre polynomials, Laguerre-Appell polynomials, fractional calculus, operational rules, determinant definition

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