Gray, Alfred; Pinsky, Mark A. Computer graphics and a new Gibbs phenomenon for Fourier-Bessel series. (English) Zbl 0781.42023 Exp. Math. 1, No. 4, 313-316 (1992). Summary: We report the existence of a Gibbs-like phenomenon at points of continuity in the expansion of functions in Fourier-Bessel series. Cited in 3 Documents 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 Keywords:sofware system Mathematica; computer graphics; Gibbs-like phenomenon; points of continuity; expansion; Fourier-Bessel series Software:Mathematica × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS References: [1] Abramowitz M., Handbook of Mathematical Functions (1965) [2] Cooke R. G., Proc. London Math. Soc. (2) 27 pp 171– (1928) · JFM 53.0337.03 · doi:10.1112/plms/s2-27.1.171 [3] Gibbs J. W., Nature 59 pp 200– (1898) · JFM 30.0240.04 · doi:10.1038/059200b0 [4] Hewitt E., Archives for the History of Exact Sciences 21 pp 129– (1980) · Zbl 0424.42002 · doi:10.1007/BF00330404 [5] Pinsky M. A., Partial Differential Equations and Boundary Value Problems with Applications,, 2. ed. (1991) [6] Watson G. N., A Treatise on the Theory of Bessel Functions (1966) [7] Weyl H., Rend. Circ. Math. Palermo 29 pp 308– (1909) · JFM 41.0528.01 · doi:10.1007/BF03014071 [8] Wilbraham H., Cambridge and Dublin Math. J. pp 198– (1848) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.