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Research Article Open access CC BY 4.0

On New Identities for Basic Polynomials Sequences in Finite Operator Calculus

A. Maheswaran, C. Elango

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 6 May 2016

10.9734/BJMCS/2016/24896

Abstract

The main objective of this paper is to investigate the characterization of the delta operator for some basic polynomials. A theorem from G.C.Rota which gives the necessary and sufficient conditions for the sequence of basic polynomials corresponding to some delta operator Q is reconstructed in terms of three new identities and this theorem is verified by some comprehensive examples.

Delta operator basic polynomial sequences binomial type sequences

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