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Generalized hybrid Mehler-Fock-type integral transformation of the first kind and its applications

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Abstract

We introduce a generalized hybrid integral transformation of the Mehler-Fock type on a segment [0; R] with n conjugate points. We consider examples of application of this transformation to the solution of typical singular boundary-value problems for linear partial differential equations of the second order in piecewise-homogeneous media.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 10, pp. 1376–1390, October, 2007.

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Konet, I.M. Generalized hybrid Mehler-Fock-type integral transformation of the first kind and its applications. Ukr Math J 59, 1544–1559 (2007). https://doi.org/10.1007/s11253-008-0014-y

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