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A qq-linear analogue of the plane wave expansion

Abstract

We obtain a qq-linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little qq-Gegenbauer polynomials and the \textit{third} Jackson qq-Bessel function. The result is obtained by using a method based on bilinear biorthogonal expansions.Comment: 12 pages, to appear in Adv. in Appl. Math. arXiv admin note: text overlap with arXiv:0909.006

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