Generalization of I.Vekua's integral representations of holomorphic functions and their application to the Riemann–Hilbert–Poincaré problem

I. Vekua’s integral representations of holomorphic functions, whose m-th derivative (m≥0) is Hӧlder-continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m-th derivative is representable by a Cauchy type integral whose density is from variable expo...

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Bibliographic Details
Main Authors: Vakhtang Kokilashvili, Vakhtang Paatashvili
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/642519
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