On the uniqueness of meromorphic functions that share three or two finite sets on annuli

DOI10.1007/s12044-012-0074-7zbMath1269.30036OpenAlexW2001805049MaRDI QIDQ692362

Ting-Bin Cao, Zhong-shu Deng

Publication date: 5 December 2012

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-012-0074-7

zbMATH Keywords

Nevanlinna theoryannulusuniqueness of meromorphic functions

Mathematics Subject Classification ID

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

Related Items (16)

Nevanlinna's five values theorem on annuli ⋮ The uniqueness of meromorphic functions in \(k\)-punctured complex plane ⋮ On meromorphic functions for sharing two sets and three sets in \(m\)-punctured complex plane ⋮ Two meromorphic functions on annuli sharing some pairs of small functions or values ⋮ Unnamed Item ⋮ On fundamental theorems for holomorphic curves on the annuli ⋮ Some new results on fixed points of meromorphic functions defined in annuli ⋮ Uniqueness of meromorphic functions sharing a set in annuli ⋮ Two meromorphic functions on annuli sharing some pairs of values ⋮ Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity ⋮ Meromorphic functions having the same inverse images of four values on annuli ⋮ Uniqueness theorem for holomorphic mappings on annuli sharing few hyperplanes ⋮ Unnamed Item ⋮ Meromorphic functions on annuli sharing few small functions with truncated multiplicities ⋮ The shared set and uniqueness of meromorphic functions on annuli ⋮ Uniqueness theorem of meromorphic function concerning small functions on annuli

Cites Work

• On the multiple values and uniqueness of meromorphic functions on annuli
• Uniqueness of admissible meromorphic functions in the unit disc
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• On the Nevanlinna theory for meromorphic functions on annuli. II.
• Harmonic Functions from a Complex Analysis Viewpoint
• On Uniqueness of Meromorphic Functions with Shared Values in One Angular Domain
• Uniqueness Theorems for Meromorphic Functions That Share Three Sets
• A unique range set for meromorphic functions with 11 elements
• Unnamed Item
• Unnamed Item
• Unnamed Item

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