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q-Extension of generalized Gegenbauer polynomials
Authors:M. Mejri
Affiliation:1. Institut Superieur des Sciences Appliquees et de Technologie , Rue Omar Ibn El Kattab Gabes, 6072, Tunisia manoubi.mejri@issatgb.rnu.tn mejri_manoubi@yahoo.fr
Abstract:We study in detail a q-extension of the generalized Gegenbauer form (functional). We show that it is symmetric H q -semi-classical of class one. The moments and the integral representations are given.
Keywords:q-difference operator  q-difference equations  H q -semi-classical polynomials
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