On some complex differential and difference equations concerning sharing function

DOI10.1186/1687-1847-2014-274zbMath1343.39032OpenAlexW2145633108WikidataQ59324529 ScholiaQ59324529MaRDI QIDQ307303

Hong-Yan Xu, Hua Wang, Lian-Zhong Yang

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-274

zbMATH Keywords

entire functiondifference equationBrück's conjecture

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Stochastic difference equations (39A50)

Related Items (1)

Further study on the Brück conjecture and some non-linear complex differential equations

Cites Work

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• Uniqueness theorems on entire functions and their linear differential polynomials
• An entire function and its derivatives sharing a polynomial
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
• Entire functions that share one value with one or two of their derivatives
• On entire functions which share one value CM with their first derivative
• Entire functions sharing an entire function of smaller order with their shifts
• Entire functions that share a small function with their derivatives
• Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations

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