Value Distribution and Linear Operators

DOI10.1017/S0013091513000448zbMath1343.30020arXiv1309.3333OpenAlexW2963929948MaRDI QIDQ5419411

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Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3333

zbMATH Keywords

differential operatorsdifferential-difference operatorsNevanlinna's second main theorem

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Linear ordinary differential equations and systems in the complex domain (34M03) Linear difference equations (39A06)

Related Items (9)

Good linear operators and meromorphic solutions of functional equations ⋮ Normal families and growth of meromorphic functions with their \(k\)th derivatives ⋮ Growth of meromorphic function sharing functions and some uniqueness problems ⋮ Meromorphic functions that share four or three small functions with their difference operators ⋮ Unnamed Item ⋮ Meromorphic solutions of higher order delay differential equations ⋮ Unnamed Item ⋮ Meromorphic solutions of complex differential-difference equations ⋮ Difference analogue of Cartan's second main theorem for slowly moving periodic targets

Cites Work

• Unnamed Item
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• On the extension of the Painlevé property to difference equations
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations

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