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arXiv · 1612.08597

On fractional $q$-extensions of some $q$-orthogonal polynomials

P. Njionou Sadjang·S. Mboutngam
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Abstract

Fractional $q$-extensions of some classical $q$-orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional $q$-difference equation of Gauss type is introduced and solved by means of power series method.

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P. Njionou Sadjang, S. Mboutngam. 2016-12-18. On fractional $q$-extensions of some $q$-orthogonal polynomials. https://arxiv.org/abs/1612.08597

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