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Some theorems on integral transforms

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Abstract

A theorem is proved which establishes a connection among Laplace, Kantorovich-Lebedev, Meier, and the generalized Mehler-Focktransforms. Some improper integrals are calculated by using this theorem and its immediate generalization.

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Literature cited

  1. V. S. Ryko, “On the use of a connection between integral transforms for the calculation of integrals,” Matem. Zametki,15, No. 1, 129–137 (1974).

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  2. N. Ya. Vilenkin, “Matrix elements of in decomposable unitary representations of groups of motions of Lobachevskii space and generalized Mehler-Fock transforms,” Dokl. Akad. Nauk SSSR,118, No. 2, 219–222 (1958).

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  3. V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus [in Russian], Fizmatgiz, Moscow (1961).

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  4. H. Bateman and A. Erdelyi (editors), Tables of Integral Transforms, Vols. 1, 2, McGraw-Hill (1954).

  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).

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Authors and Affiliations

  1. Vologod State Pedagogical Institute, USSR

    V. S. Ryko

Authors
  1. V. S. Ryko
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Translated from Matematicheskie Zametki, Vol. 18, No. 6, pp. 825–830, December, 1975.

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Ryko, V.S. Some theorems on integral transforms. Mathematical Notes of the Academy of Sciences of the USSR 18, 1081–1084 (1975). https://doi.org/10.1007/BF01099985

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  • DOI: https://doi.org/10.1007/BF01099985

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