Tuesday, November 6, 2012

1211.0739 (Luís Daniel Abreu et al.)

A $q$-linear analogue of the plane wave expansion    [PDF]

Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona
We obtain a $q$-linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$-Gegenbauer polynomials and the \textit{third} Jackson $q$-Bessel function. The result is obtained by using a method based on bilinear biorthogonal expansions.
View original: http://arxiv.org/abs/1211.0739

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