A $q$-linear analogue of the plane wave expansion
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2012
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| _version_ | 1866916547883171840 |
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| author | Abreu, Luís Daniel Ciaurri, Óscar Varona, Juan Luis |
| author_facet | Abreu, Luís Daniel Ciaurri, Óscar Varona, Juan Luis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1211_0739 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | A $q$-linear analogue of the plane wave expansion Abreu, Luís Daniel Ciaurri, Óscar Varona, Juan Luis Mathematical Physics Functional Analysis 94A20 (Primary) 42A38, 42C10, 33D45 (Secondary) 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. |
| title | A $q$-linear analogue of the plane wave expansion |
| topic | Mathematical Physics Functional Analysis 94A20 (Primary) 42A38, 42C10, 33D45 (Secondary) |
| url | https://arxiv.org/abs/1211.0739 |