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The Bloch-Nevanlinna conjecture revisited

Published online by Cambridge University Press:  17 April 2009

Douglas M. Campbell  and
Gene H. Wickes
Douglas M. Campbell
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah, USA.
Gene H. Wickes
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah, USA.
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Abstract

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In 1929 Rolf Nevanlinna posed a problem attributed to Bloch which has since been known as the Bloch-Nevanlinna conjecture. It can be stated as follows: Is the derivative of a function of bounded characteristic of bounded characteristic? A variety of different counterexamples have provided negative answers to this question. The purpose of the paper is to survey these counterexamples and then give a truly elementary proof of the following theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 447 - 453
Copyright
Copyright © Australian Mathematical Society 1978

References

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