Accession Number : AD0746709

Title :   Conformal Mapping and Related Topics.

Descriptive Note : Final rept. 1 Jan 68-30 Jun 72,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Warschawski,Stefan E. ; Fitzgerald,Carl ; Eke,G. G. ; Minda,Carl D. ; Vinge,Vernor

Report Date : 27 JUL 1972

Pagination or Media Count : 14

Abstract : The results obtained are in the general areas of conformal mapping, in particular the boundary behavior and the conformal mapping of variable domains, univalent functions, extremel length and harmonic functions, and the regularity of minimal surfaces at the boundary. More specifically, these include the differentiability of conformal maps at the boundary, the distortion of conformal maps at the boundary, analytic continuation to starlike functions, the analyticity and continuation of certain functions of two complex variables, the analytic continuation of a function defined on a sequence of points, the exponentiation of certain quadratic inequalities for schlicht functions, quadratic inequalities and coefficient estimates for schlicht functions, the differentiability of minimal surfaces at the boundary and a boundary point, the Holder continuity at the boundary in conformal maps the Lichtenstein-Gershgorin integral equation in conformal mapping of variable domains, boundary derivatives of minimal surfaces, results concerning the angular derivative, and the solution of extremal problems in Euclidean space. (Author)

Descriptors :   (*CONFORMAL MAPPING, FUNCTIONS(MATHEMATICS)), COMPLEX VARIABLES, ANALYTIC FUNCTIONS, SURFACES, INEQUALITIES, INTEGRAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE