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 multiply-connected domain to investigated extremal properties of conformal schlicht mappings of a multiply-connected onto mutually non-overlapping domains. The problem of mutual growth of the coefficients of one close of p-sheeted 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 Lebedev-Aleksandrov respectively. Theorems and proofs are presented through-out. (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