Generalized hybrid Mehler-Fock-type integral transformation of the first kind and its applications
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.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 10, pp 1544-1559.
Citation Example: Konet I. M. Generalized hybrid Mehler-Fock-type integral transformation of the first kind and its applications // Ukr. Mat. Zh. - 2007. - 59, № 10. - pp. 1376–1390.