Unique Range Set of a Meromorphic Function And Its Linear Difference Polynomial

DOI10.18311/JIMS/2022/29306zbMath1499.30272OpenAlexW4292589586MaRDI QIDQ5864095

Ashwini M. Hattikal, Madhura M. Mathai, Renukadevi Sangappa Dyavanal

Publication date: 3 June 2022

Published in: The Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2022/29306

zbMATH Keywords

Nevanlinna theorymeromorphic functionfinite orderunique range setlinear difference polynomial

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Cites Work

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• Meromorphic function sharing two sets with its difference operator
• Value sharing results for shifts of meromorphic functions
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution and shared sets of differences of meromorphic functions
• Meromorphic functions that share two sets
• Unicity of meromorphic functions sharing sets with their linear difference polynomials
• Some further results on the unique range sets of meromorphic functions
• Zeros of differences of meromorphic functions
• A unique range set for meromorphic functions with 11 elements
• Further results on the uniqueness of meromorphic functions and their derivative counterpart sharing one or two sets
• Unicity theorems for entire functions

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