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Computer graphics and a new Gibbs phenomenon for Fourier-Bessel series. (English) Zbl 0781.42023

Summary: We report the existence of a Gibbs-like phenomenon at points of continuity in the expansion of functions in Fourier-Bessel series.

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
42-04 Software, source code, etc. for problems pertaining to harmonic analysis on Euclidean spaces

Software:

Mathematica

References:

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[8] Wilbraham H., Cambridge and Dublin Math. J. pp 198– (1848)
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