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Research Article Open access CC BY 4.0

Sheffer Polynomials and their Delta Operators

A. Maheswaran, C. Elango

Asian Research Journal of Mathematics · pp. 1–14 · Published 22 Nov 2016

10.9734/ARJOM/2016/29899

Abstract

Aims/objectives: In this paper, we study the Sheffer polynomials through the sequential representation of delta operator in Finite Operator Calculus. The major objective is to investigate the characterization of the delta operator for the Simple Laguerre, the Boole and Mittag-Leffer polynomials. From our investigation, we derive many interesting Propositions for the above polynomials.

Delta operator Basic polynomial sequences Sheffer polynomials Leguerre polynomial Boole polynomial Mittag-Leffer polynomial

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