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Integral Transforms and Special Functions Volume 16, 2005 - Issue 5-6: The 3rd International Conference on Analytic Methods of Analysis and Differential Equations (AMADE-2003), Minsk, Belarus, 4–9 September 2003
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Original Articles

A class of integral transforms related to the fourier cosine convolution

L. E. Britvina Department of Theoretical and Mathematical Physics, Novgorod State University, RussiaCorrespondence[email protected]
Pages 379-389 | Received 18 Feb 2004, Published online: 20 Aug 2006

References

  • Titchmarsh , E. C. 1967 . Introduction to the Theory of Fourier Integral , 2nd edn , Oxford : Clarendon Press .
  • Kakichev , V. A. 1967 . On the convolutions for integral transforms . Izv. Acad. Nauk BSSR. Ser. Fiz.-Mat. Nauk , 22 : 48 – 57 . (Russian)
  • Churchill , R. V. 1972 . Operational Mathematics , 3rd edn , New York : Mc Graw Hill .
  • Knyazev , P. N. 1969 . Integral Transforms , Vyshaya shkola, Minsk (Russian)
  • Tuan , V. K. 1999 . Integral transform of Fourier cosine convolution type . Journal of Mathematical Analysis and Applications , 229 : 519 – 529 .
  • Kakichev , V. A. 1997 . Lectures on Polyconvolutions: Definitions, Examples, and Convolution Equations , Russia : TSURE, Taganrog .
  • Thao , N. X. and Hai , N. T. 1997 . Convolution for Integral Transforms and Their Applications , Moscow : Computer Center of the Russian Academy .
  • Tuan , V. K. and Saigo , M. 1995 . Convolutions of Hankel transform and its application to an integral involving Bessel function of first kind . Journal of Mathematics and Mathematical Sciences , 18 ( 2 ) : 545 – 550 .
  • Yakubovich , S. B. and Saigo , M. 1994 . The Kontorovich–Lebedev transform and its convolution . Prod. Inst. Math. Sci. Kyoto Univ. , 12 : 84 – 119 .
  • Prudnikov , A. P. , Brychkov , Yu. A. and Marichev , O. I. 1986 . Integral and Series. 1: Elementary Functions , New York : Gordon and Breach .
  • Al-Musallam , F. and Tuan , V. K. 2000 . A class of convolution transformation . Fractional Calculas Application and Analysis , 3 ( 3 ) : 303 – 314 .
  • Al-Musallam , F. and Tuan , V. K. 2000 . Integral transforms related to a generalized convolution . Result. Math. , 38 : 197 – 208 .

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