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Journal of the London Mathematical Society Advance Access originally published online on October 24, 2007
Journal of the London Mathematical Society 2007 76(3):556-566; doi:10.1112/jlms/jdm073
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© 2007 London Mathematical Society

Clunie theorems for difference and q-difference polynomials

Ilpo Laine

University of Joensuu
Department of Mathematics
P.O. Box 111
FI-80101 Joensuu
Finland

Chung-Chun Yang

Hong Kong University of Science and Technology
Department of Mathematics
Clear Water
Kowloon
Hong Kong
mayang{at}ust.hk

The main purpose of this paper is to prove difference and q-difference counterparts of the Clunie and Mohon’ko lemmas from the Nevanlinna theory of differential polynomials. We also give applications to the value distribution theory of meromorphic solutions of some complex difference equations.

2000 Mathematics Subject Classification 30D35 (primary), 39B32 (secondary).

The authors were supported by the RGC Grant of Hong Kong 605205. The first author has also been supported by the Academy of Finland grant 210245.

Received June 9, 2006; revised December 19, 2006; published online October 24, 2007.


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