Some identities associated with $2$-variable truncated exponential based Sheffer polynomial sequences
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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.
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.
참고문헌 (27)
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