A q-linear analogue of the plane wave expansion
- Abreu, L.D. 12
- Ciaurri, Ó. 3
- Varona, J.L. 3
- 1 Austrian Academy of Sciences, Acoustic Research Institute, Reichsratsstrasse 17, A-1010 Vienna, Austria
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2
Universidade de Coimbra
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3
Universidad de La Rioja
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ISSN: 0196-8858
Year of publication: 2012
Volume: 50
Issue: 3
Pages: 415-428
Type: Article
More publications in: Advances in Applied Mathematics
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Abstract
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 third Jackson q-Bessel function. The result is obtained by using a method based on bilinear biorthogonal expansions