On the existence of unique range sets generated by non-critically injective polynomials and related issues

DOI10.32513/TBILISI/1608606051zbMath1493.30014OpenAlexW3117719540MaRDI QIDQ2143690

Sanjay Mallick

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tbilisi/1608606051

zbMATH Keywords

zerospolynomialsentire functionsmeromorphic functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Unique range sets: a further study. II ⋮ On the distribution of unique range sets and its elements over the extended complex plane

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
• Fujimoto's theorem -- a further study
• 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 uniqueness of meromorphic functions sharing finite sets
• Weighted sharing and uniqueness of meromorphic functions
• Weighted value sharing and uniqueness of meromorphic functions
• A new class of strong uniqueness polynomials satisfying Fujimoto's condition
• A unique range set for meromorphic functions with 11 elements
• Unicity theorems for meromorphic or entire functions III

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