A q-linear analogue of the plane wave expansion

作者：Abreu Luis Daniel; Ciaurri Oscar; Luis Varona Juan

来源：Advances in Applied Mathematics, 2013, 50(3): 415-428.

DOI：10.1016/j.aam.2012.11.001

• Bilinear expansion
• Biorthogonal expansion
• Plane wave expansion
• Sampling theorem
• Fourier-Neumann expansion
• Dunkl transform
• Special functions
• q-Special functions

We obtain a q-linear analogue of Gegenbauer%26apos;s expansion of the plane wave. It is expanded in terms of the little q-Gegenbauer polynomials and the third Jackson q-Bessel function. The result is obtained by using a method based on bilinear biorthogonal expansions.

• 出版日期2013-3