This article is cited in 1 paper

The Keldysh–Sedov problem for functions holomorphic in a bi-halfplane

V. A. Kakichev, Le-din' Zon

Rostov State University

Abstract: We pose and solve the Keldysh–Sedov problem: determine a function holomorphic in a bi-halfplane where its real and imaginary parts are given on mutually nonintersecting rectangles which exhaust the plane and which are the frame of the boundary of the bi-halfplane. Necessary and sufficient conditions for this problem to be solvable are given.

Received: 10.02.1975

 English version: Mathematical Notes, 1976, 19:5, 410–415

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