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Ukrainian Mathematical Journal

, Volume 45, Issue 8, pp 1221–1229 | Cite as

On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with 2n junction points

  • M. P. Lenyuk
  • N. P. Oleinik
Article

Abstract

The hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) are constructed on the polar axis with 2n junction points by using the method of a delta-shaped sequence regarded as a Dirichlet kernel. The principal identity of the integral transformation of a differential operator is obtained.

Keywords

Differential Operator Polar Axis Integral Transformation Principal Identity Junction Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    M. P. Lenyuk,Investigation of the Main Boundary-Value Problems for the Bessel Dissipative Wave Equation [in Russian], Preprint No. 83.3, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1983).Google Scholar
  2. 2.
    V. V. Stepanov,A Course of Differential Equations [in Russian], Fizmatgiz, Moscow (1959).Google Scholar
  3. 3.
    G. E. Shilov,Mathematical Analysis. The Second Special Course [in Russian], Nauka, Moscow (1965).Google Scholar
  4. 4.
    I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series, and Products, Academic Press, New York (1980).Google Scholar
  5. 5.
    G. M. Fikhtengol'ts,A Course of Differential and Integral Calculus [in Russian], Vol. 3, Nauka, Moscow (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • M. P. Lenyuk
    • 1
  • N. P. Oleinik
    • 1
  1. 1.Chernovtsy UniversityChernovtsy

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