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Clunie theorems for difference and q ‐difference polynomials
Author(s) -
Laine Ilpo,
Yang Chung-Chun
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm073
Subject(s) - meromorphic function , nevanlinna theory , mathematics , differential (mechanical device) , difference polynomials , significant difference , differential equation , pure mathematics , distribution (mathematics) , value (mathematics) , macdonald polynomials , algebra over a field , mathematical analysis , orthogonal polynomials , physics , statistics , thermodynamics
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.