Uniform convergence of Fourier-Bessel series on a q-linear grid
classification
🧮 math.CA
keywords
convergenceseriesexpansionsfourier-besselgridq-linearuniformcomplete
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We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier-Bessel series.
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