The Picard theorem for multianalytic functions

Paul M. Krajkiewicz

Vol. 48 (1973), No. 2, 423–439

DOI: 10.2140/pjm.1973.48.423

Abstract

The class of multianalytic functions are defined. For this class the notions of essential and nonessential isolated singularities and of exceptional values are introduced. It is then shown that a multianalytic function has at most one exceptional value at an essential isolated singularity.

Mathematical Subject Classification

Primary: 30A92

Milestones

Received: 30 June 1972

Revised: 20 December 1972

Published: 1 October 1973