Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 681-690
Citer cet article
V. A. Kakichev; Le-din' Zon. The Keldysh–Sedov problem for functions holomorphic in a bi-halfplane. Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 681-690. http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a2/
@article{MZM_1976_19_5_a2,
author = {V. A. Kakichev and Le-din' Zon},
title = {The {Keldysh{\textendash}Sedov} problem for functions holomorphic in a~bi-halfplane},
journal = {Matemati\v{c}eskie zametki},
pages = {681--690},
year = {1976},
volume = {19},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a2/}
}
TY - JOUR
AU - V. A. Kakichev
AU - Le-din' Zon
TI - The Keldysh–Sedov problem for functions holomorphic in a bi-halfplane
JO - Matematičeskie zametki
PY - 1976
SP - 681
EP - 690
VL - 19
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a2/
LA - ru
ID - MZM_1976_19_5_a2
ER -
%0 Journal Article
%A V. A. Kakichev
%A Le-din' Zon
%T The Keldysh–Sedov problem for functions holomorphic in a bi-halfplane
%J Matematičeskie zametki
%D 1976
%P 681-690
%V 19
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a2/
%G ru
%F MZM_1976_19_5_a2
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.
