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

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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.

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References

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Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    M. P. Lenyuk & N. P. Oleinik

Authors
  1. M. P. Lenyuk
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  2. N. P. Oleinik
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Translated from Ukrainskii Maternaticheskii Zhumal, Vol. 45, No. 8, pp. 1096–1103, August, 1993.

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Lenyuk, M.P., Oleinik, N.P. On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with 2n junction points. Ukr Math J 45, 1221–1229 (1993). https://doi.org/10.1007/BF01070969

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  • DOI: https://doi.org/10.1007/BF01070969

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