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arXiv · 1603.07261

A characterization theorem and its applications for d-orthogonality of Sheffer polynomial sets

Serhan Varma
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Abstract

The purpose of this paper is to find the characterization of the Sheffer polynomial sets satisfying the d-orthogonality conditions. The generating function form of these polynomial sets is given in Theorem 2.2. As applications of the Theorem 2.2, we revisit the d-orthogonal polynomial sets exist in the literature and discover new d-orthogonal polynomial sets. Moreover, we obtain the d-dimensional functional vector ensuring the d-orthogonality of these new polynomial sets.

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Serhan Varma. 2016-03-23. A characterization theorem and its applications for d-orthogonality of Sheffer polynomial sets. https://arxiv.org/abs/1603.07261

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