A q-linear analogue of the plane wave expansion

  1. Abreu, L.D. 12
  2. Ciaurri, Ó. 3
  3. Varona, J.L. 3
  1. 1 Austrian Academy of Sciences, Acoustic Research Institute, Reichsratsstrasse 17, A-1010 Vienna, Austria
  2. 2 Universidade de Coimbra
    info

    Universidade de Coimbra

    Coímbra, Portugal

    ROR https://ror.org/04z8k9a98

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Advances in Applied Mathematics

ISSN: 0196-8858

Argitalpen urtea: 2012

Alea: 50

Zenbakia: 3

Orrialdeak: 415-428

Mota: Artikulua

DOI: 10.1016/J.AAM.2012.11.001 SCOPUS: 2-s2.0-84873165054 WoS: WOS:000314859700006 arXiv: 1211.0739v1 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Advances in Applied Mathematics

Gordailu instituzionala: lock_openSarbide irekia Postprint lockSarbide irekia Editor

Laburpena

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