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THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY

Published online by Cambridge University Press:  14 June 2004

GARY G. GUNDERSEN  and
WALTER K. HAYMAN
GARY G. GUNDERSEN
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USAggunders@math.uno.edu
WALTER K. HAYMAN
Affiliation:
Department of Mathematics, Imperial College London, South Kensington campus, London SW7 2AZ, United Kingdom
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Abstract

In 1933 Henri Cartan proved a fundamental theorem in Nevanlinna theory, namely a generalization of Nevanlinna's second fundamental theorem. Cartan's theorem works very well for certain kinds of problems. Unfortunately, it seems that Cartan's theorem, its proof, and its usefulness, are not as widely known as they deserve to be. To help give wider exposure to Cartan's theorem, the simple and general forms of the theorem are stated here. A proof of the general form is given, as well as several applications of the theorem.

Type
Survey
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 433 - 454
Copyright
© The London Mathematical Society 2004

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