2019
Том 71
№ 11

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Integral representation of an analytic function in a ring and its applications

Cherskii Yu. I., Kerekesha P. V.

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Abstract

An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in the normal case).

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 3, pp 376-384.

Citation Example: Cherskii Yu. I., Kerekesha P. V. Integral representation of an analytic function in a ring and its applications // Ukr. Mat. Zh. - 1995. - 47, № 3. - pp. 322–329.

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