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Original Articles

Computer Graphics and a New Gibbs Phenomenon for Fourier—Bessel Series

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Pages 313-316 | Published online: 03 Apr 2012

REFERENCES

  • Abramowitz , M. and Stegun , I. A. 1965 . Handbook of Mathematical Functions New York : Dover. . [Abramowitz and Stegun 1965]
  • Cooke , R. G. 1928 . “Gibbs' phenomenon in Fourier Bessel series and integrals” . Proc. London Math. Soc. (2) , 27 : 171 – 192 . [Cooke 1928]
  • Gibbs , J. W. 1898–99 . Nature , 59 : 200 606 [Gibbs 1898], Reprinted as pp. 258–260 in Collected Works, vol. 2, Longmans, New York, 1927
  • Hewitt , E. and Hewitt , R. 1980 . “The Gibbs–Wilbraham Phenomenon: An Episode in Fourier Analysis” . Archives for the History of Exact Sciences , 21 : 129 – 160 . [Hewitt and Hewitt 1980]
  • Pinsky , M. A. 1991 . Partial Differential Equations and Boundary Value Problems with Applications, , 2nd ed. New York : McGraw-Hill. . [Pinsky 1991]
  • Watson , G. N. 1966 . A Treatise on the Theory of Bessel Functions Cambridge , , (UK) : Cambridge University Press. . [Watson 1966]
  • Weyl , H. 1909 . “Die Gibbssche Erscheinung in der Theorie dcr Kugelfunktionen” . Rend. Circ. Math. Palermo , 29 : 308 – 323 . [Weyl 1909], Reprinted as pp. 305–320 in Gesammelte Abhandlungen, vol. 1, Springer-Verlag, Berlin, 1968
  • Wilbraham , H. 1848 . “On a certain periodic function” . Cambridge and Dublin Math. J. , : 198 – 201 . [Wilbraham 1848]

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