Variational methods for functions with positive real part

Abstract

where p(w, t) is an analytic function whose real part is the Green function g(w, iq) of a, and where r is a member of a curve system in O homotopic to C. The function c(w) is analytic on r and in the ring bounded by e and r. If D is simply-connected and if z=4/(w) maps D on the interior of the unit circle I zI < 1, then g(w, q) is connected with VJ(w) by the relation I1 ((?)+W (1.3) g(w, ) = log I (4106(w)