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arXiv · 1903.09620

Differential equation and recurrence relations of the Sheffer-Appell polynomial sequence: A matrix approach

H. M. Srivastava·Saima Jabee·Mohammad Shadab
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Abstract

Motivated by the effective impact of the Pascal functional and the Wronskian matrices, we investigate several identities and differential equation for the Sheffer-Appell polynomial sequence by using matrix algebra. The matrix approach, which we have used in this article, is convenient to derive the generating functions of the Sheffer-Appell polynomial sequence. By means of examples, we apply and also illustrate our results to an extended class of polynomial sequences.

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H. M. Srivastava, Saima Jabee, Mohammad Shadab. 2019-03-21. Differential equation and recurrence relations of the Sheffer-Appell polynomial sequence: A matrix approach. https://arxiv.org/abs/1903.09620

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