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Hybrid integral transformations (Bessel, Legendre, Bessel)

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Abstract

By means of the method of delta-type sequences, hybrid integral transformations of the Hankel 1st kind-Legendre-Weber and the Hankel 2nd kind-Legendre-Weber on the polar axis with two conjunction points are constructed and decomposability theorems are proved; basic identities for the integral transform of the differential operator are obtained. A logical scheme for application of the integral transformations obtained for solving the corresponding problems of mathematical physics is presented.

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Literature cited

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Authors and Affiliations

  1. Chernovits University, USSR

    M. P. Lenyuk

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  1. M. P. Lenyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 6, pp. 770–779, June, 1991.

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Lenyuk, M.P. Hybrid integral transformations (Bessel, Legendre, Bessel). Ukr Math J 43, 719–728 (1991). https://doi.org/10.1007/BF01058939

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  • DOI: https://doi.org/10.1007/BF01058939

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