On fractional q-extensions of some q-orthogonal polynomials

2016/12/18 by P. Njionou Sadjang, Sadjang, P. Njionou, S. Mboutngam +1
Mathematics · #26A33 #33D15 #39A13 #39A70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1612.08597

openalex publication_date 2016/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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