On the distribution of unique range sets and its elements over the extended complex plane

DOI10.30970/MS.60.1.40-54zbMath1526.30035OpenAlexW4387057911MaRDI QIDQ6059386

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Publication date: 2 November 2023

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.60.1.40-54

zbMATH Keywords

entire functionsmeromorphic functionsunique range sets

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (1)

Uniqueness of meromorphic functions with nonlinear differential polynomials sharing a small function IM

Cites Work

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• On the characterisations of a new class of strong uniqueness polynomials generating unique range sets
• Unique range sets for meromorphic functions constructed without an injectivity hypothesis
• On preimage and range sets of meromorphic functions
• Some further results on the unique range sets of meromorphic functions
• A uniqueness polynomial generating a unique range set and vice versa
• On the existence of unique range sets generated by non-critically injective polynomials and related issues
• Unique range sets for powers of meromorphic functions. II
• Unique range sets for powers of meromorphic functions
• On uniqueness of meromorphic functions sharing finite sets
• A unique range set for meromorphic functions with 11 elements
• Meromorphic functions sharing a set with 17 elements ignoring multiplicities
• The unique range sets for entire or meromorphic functions
• Unicity theorems for meromorphic or entire functions III
• Unique range sets - a further study

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