Sheffer Polynomials and their Delta Operators
A. Maheswaran *
Department of Mathematical Sciences, Cardamom Planters' Association College, Bodinayakanur-625513, Tamilnadu, India.
C. Elango
Department of Mathematical Sciences, Cardamom Planters' Association College, Bodinayakanur-625513, Tamilnadu, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Delta operator, Basic polynomial sequences, Sheffer polynomials, Leguerre polynomial, Boole polynomial, Mittag-Leffer polynomial