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Accession Number:
AD0265022
Title:
A VARIATIONAL METHOD FOR FUNCTIONS SCHLICHT IN AN ANNULUS
Corporate Author:
STANFORD UNIV CALIF APPLIED MATHEMATICS AND STATISTICS LABS
Report Date:
1961-09-11
Abstract:
Consideration is given to the family of function fz regular analytic and schlicht in the annulus R and satisfying the following conditions 1 fz maps R onto the unit disk minus some continuum G, and 2 G contains the origin. Extremal problems maximum modulus on the inner boundary and maximum displacement on the outer boundary of R are solved using a specific method of variation within the family. The variation leads from every given fz to a large set of comparison functions within the family. The use of the variational method is further illustrated in finding the maximum diameter of the continuum G for all functions in the family F.
Pages:
0001
File Size:
0.00MB
