A CLUNIE LEMMA FOR DIFFERENCE AND q-DIFFERENCE POLYNOMIALS

DOI10.1017/S0004972709000811zbMath1188.30039WikidataQ124813778 ScholiaQ124813778MaRDI QIDQ5187718

Zong Xuan Chen, Zhi-Bo Huang

Publication date: 1 March 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

difference polynomial\(q\)-difference polynomialClunie lemma

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Functional equations for complex functions (39B32)

Related Items (7)

Some results on zeros and uniqueness of difference-differential polynomials ⋮ The zeros of differential-difference polynomials of certain types ⋮ Some results on zeros and the uniqueness of one certain type of high difference polynomials ⋮ The properties of differential-difference polynomials ⋮ THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION ⋮ The properties of the meromorphic solutions of some difference equations ⋮ The zeros of complex differential-difference polynomials

Cites Work

• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Estimates of the proximate function of differential polynomials
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• On Integral and Meromorphic Functions
• Clunie theorems for difference and q -difference polynomials
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations

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