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-Lef...
Open access
Research Article10.9734/ARJOM/2016/29899
In this paper, we introduce a new approach for the Appell polynomials via the sequential representation of the delta operator. Moreover, a theorem which gives the necessary condition for Appell polynomials is proposed. The main objective of this paper is to investigate the charac...
Open access
Research Article10.9734/BJMCS/2016/28442
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 re...
Open access
Research Article10.9734/BJMCS/2016/24896