Accession Number:

AD0692805

Title:

EXTREMAL PROBLEMS ON THE GEOMETRIC THEORY OF FUNCTIONS (Ekstremalnye Zadachi Geometricheskoi Theoril Funktsii),

Descriptive Note:

Corporate Author:

ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER WASHINGTON D C

Report Date:

1969-01-01

Pagination or Media Count:

225.0

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. Kuzmina and Lebedev-Aleksandrov respectively. Theorems and proofs are presented through-out. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE