A -linear analogue of the plane wave expansion
arXiv:1211.0739 · doi:10.1016/j.aam.2012.11.001
Abstract
We obtain a -linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little -Gegenbauer polynomials and the \textit{third} Jackson -Bessel function. The result is obtained by using a method based on bilinear biorthogonal expansions.
12 pages, to appear in Adv. in Appl. Math. arXiv admin note: text overlap with arXiv:0909.0067