Vol. 73, No. 1, 1977

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ISSN: 0030-8730
A necessary condition on the extreme points of a class of holomorphic functions

Frank John Forelli, Jr.

Vol. 73 (1977), No. 1, 81–86
Abstract

We prove that if f is an extreme point of the class N(G,p) of all holomorphic functions g on the region G in Cn such that Re g > 0 on G and g(p) = 1, and if three conditions on G hold, then the Cayley transform (f 1)(f + 1) is irreducible.

Mathematical Subject Classification 2000
Primary: 32E30
Milestones
Received: 2 August 1976
Revised: 23 June 1977
Published: 1 November 1977
Authors
Frank John Forelli, Jr.