Uniform convergence of Fourier-Bessel series on a q-linear grid

Published 19 Oct 2017 in math.CA | (1710.08823v1)

Abstract: 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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