Extremal Problems Of The Geometric Theory Of Functions Edited By Ju E Alenicyn Translated From The Russian By A Yalslonsky
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EXTREMAL PROBLEMS ON THE GEOMETRIC THEORY OF FUNCTIONS (Ekstremalnye Zadachi Geometricheskoi Theoril Funktsii).
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).