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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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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