Integral transforms of generalized functions

書誌事項

Integral transforms of generalized functions

Yu.A. Brychkov and A.P. Prudnikov

Gordon and Breach Science Publishers, c1989

タイトル別名

Integralʹnye preobrazovanii︠a︡ obobshchennykh funkt︠s︡iĭ

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注記

Revised and enlarged translation of: Integralʹnye preobrazovanii︠a︡ obobshchennykh funkt︠s︡iĭ

Bibliography: p. [316]-333

Includes indexes

内容説明・目次

内容説明

Exploring integral transforms of generalized functions, this book covers such topics as the Laplace and Mellin transformations, the Weierstrass transformation, transformations involving hypergeometric functions and the G- and H- transformations.

目次

  • Elements of the theory
  • the Fourier transformation
  • the Laplace and Mellin transformations
  • the Stieltjes, Hilbert and related transformations
  • the Weierstrass transformation
  • the Bessel transformations
  • transformations involving hypergeometric functions
  • the G- and H- transformations
  • other transformations
  • tables of Fourier transforms
  • tables of right-sided Laplace transforms.

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