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arXiv · 1712.01324

On $(p,q)$-Appell Polynomials

P. Njionou Sadjang
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Abstract

We introduce polynomial sets of $(p,q)$-Appell type and give some of their characterizations. The algebraic properties of the set of all polynomial sequences of $(p,q)$-Appell type are studied. Next, we give a recurrence relation and a $(p,q)$-difference equation for those polynomials. Finally, some examples of polynomial sequences of $(p,q)$-Appell type are given, particularly, a set of $(p,q)$-Hermite polynomials is given and their three-term recurrence relation and a second order homogeneous $(p,q)$-difference equation are provided.

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BibTeXRIS

P. Njionou Sadjang. 2017-11-08. On $(p,q)$-Appell Polynomials. https://arxiv.org/abs/1712.01324

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