EXTREMAL PROBLEMS ON THE GEOMETRIC THEORY OF FUNCTIONS (Ekstremalnye Zadachi Geometricheskoi Theoril Funktsii),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1969
- Accession Number
- AD0692805
Entities
People
- E. G. Goluzina
- G. V. Kuzmina
- N. A. Lebedev
- S. A. Gelfer
- Yu E. Alenitsyn
Organizations
- United States Army Foreign Science and Technology Center