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Pointwise convergent expansions in q-Fourier-Bessel series

Description : 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...
Language(s) : English
Subject(s) : q-Fourier series , Third Jackson q-Bessel function
Publisher(s) : Centro de Matemática da Universidade de Coimbra
Contributor(s) :
Source(s) :
Publication Date(s) : 2006-01-01