q-Extension of generalized Gegenbauer polynomials |
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Authors: | M. Mejri |
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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 |
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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. |
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Keywords: | q-difference operator q-difference equations H q -semi-classical polynomials |
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