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https://hdl.handle.net/10316/11343| Title: | Pointwise convergent expansions in q-Fourier-Bessel series | Authors: | Abreu, L. D. Alvarez-Nodarse, R. Cardoso, J. L. |
Keywords: | q-Fourier series; Third Jackson q-Bessel function | Issue Date: | 2006 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 06-25 (2006) | Abstract: | We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems constructed with the third Jackson q-Bessel function. Sufficient conditions for pointwise convergence of these series are obtained, in terms of a general convergence principle valid for other Fourier series on grids defined over numerable sets. The results are illustrated with specific examples of developments in q-Fourier-Bessel series. | URI: | https://hdl.handle.net/10316/11343 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Pointwise convergent expansions in q-Fourier-Bessel.pdf | 117.83 kB | Adobe PDF | View/Open |
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