
Accession Number : AD0692805
Title : EXTREMAL PROBLEMS ON THE GEOMETRIC THEORY OF FUNCTIONS (Ekstremalnye Zadachi Geometricheskoi Theoril Funktsii),
Corporate Author : ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER WASHINGTON D C
Personal Author(s) : Goluzina,E. G. ; Alenitsyn,Yu E. ; Gelfer,S. A. ; Kuzmina,G. V. ; Lebedev,N. A.
Report Date : 1969
Pagination or Media Count : 225
Abstract : A collection of ten papers from the V. A. Streklov Institute of Mathematics, Academy of Sciences, USSR, is presented which treats various problems in the geometric theory of functions of a complex variable. Attention is given to the theory of kernels of a multiplyconnected domain to investigated extremal properties of conformal schlicht mappings of a multiplyconnected onto mutually nonoverlapping domains. The problem of mutual growth of the coefficients of one close of psheeted functions is discussed in a paper by Ye. G. Goluzina, while the problems of the minimum transfinite diameter of a continum containing three fixed points, and new variation formulas for Stieltjes integrals has been extended by G. V. Kuz'mina and LebedevAleksandrov respectively. Theorems and proofs are presented throughout. (Author)
Descriptors : (*COMPLEX VARIABLES, REPORTS), ANALYTIC FUNCTIONS, MEROMORPHIC FUNCTIONS, RINGS(MATHEMATICS), CONFORMAL MAPPING, INEQUALITIES, SERIES(MATHEMATICS), THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE