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A CLUNIE LEMMA FOR DIFFERENCE AND q-DIFFERENCE POLYNOMIALS

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  02 October 2009

ZHI-BO HUANG  and
ZONG-XUAN CHEN
ZHI-BO HUANG
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China (email: hzbo20019@sina.com)
ZONG-XUAN CHEN*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China (email: chzx@vip.sina.com)
*
✉For correspondence; e-mail: chzx@vip.sina.com
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Abstract

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The main purpose of this paper is to prove difference and q-difference counterparts of the Clunie lemma from the Nevanlinna theory of differential polynomials, where the difference and q-difference polynomials can contain many terms of maximal total degree in f(z) and its ( q-)shifts.

Keywords

Clunie lemmadifference polynomialq-difference polynomial

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 1 , February 2010 , pp. 23 - 32
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

The project was supported by the National Natural Science Foundation of China (No. 10871076), and partly supported by the School of Mathematical Sciences Foundation of SCNU, PR China.

References

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