Some identities associated with $2$-variable truncated exponential based Sheffer polynomial sequences
Commun. Korean Math. Soc.
Published online January 23, 2020
Junesang Choi, Saima Jabee, and Mohd Shadab
Dongguk University, Jamia Millia Islamia (A Central University)
Abstract : Since Sheffer introduced the so-called Sheffer polynomials in 1939, the polynomials
have been extensively investigated, applied and classified. In this paper, by using matrix algebra,
specifically, some properties of Pascal and Wronskian matrices, we aim to present certain
interesting identities involving the $2$-variable truncated exponential based Sheffer polynomial sequences.
Also, we use the main results to give some interesting identities involving so-called
$2$-variable truncated exponential based Miller-Lee type polynomials.
Further, we remark that a number of different identities involving the above polynomial sequences
can be derived by applying the method here to other combined generating functions.
Keywords : Sheffer polynomials, Truncated exponential-Sheffer polynomial sequences, Pascal matrix; Wronskian matrix, Miller-Lee polynomials
MSC numbers : 15A15, 15A24, 42C05, 65QXX
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