A $q$-linear analogue of the plane wave expansion
  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. 
Lu\'is Daniel Abreu, \'Oscar Ciaurri, Juan Luis Varona
math-ph math.FA math.MP