On one problem of uniqueness of meromorphic functions concerning small functions

DOI10.1090/S0002-9939-01-06245-1zbMath1049.30022OpenAlexW1842234772MaRDI QIDQ2781339

Hong-Xun Yi

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06245-1

zbMATH Keywords

uniqueness theoremmeromorphic functionsmall function

Mathematics Subject Classification ID

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

Related Items (16)

On the uniqueness of meromorphic functions that share small functions on annuli ⋮ Uniqueness of meromorphic functions sharing small functions in the \(k\)-punctured complex plane ⋮ UNICITY OF MEROMORPHIC FUNCTIONS SHARING SOME SMALL FUNCTIONS REGARDLESS OF MULTIPLICITIES ⋮ Finiteness problem of meromorphic functions sharing four small functions regardless of multiplicities ⋮ Meromorphic functions that share four or three small functions with their difference operators ⋮ Uniqueness of meromorphic functions sharing small functions dealing with multiple values in one angular domain of the unit disc ⋮ Unnamed Item ⋮ A note on partial sharing of values of meromorphic functions with their shifts ⋮ A non-Archimedean second main theorem for small functions and applications ⋮ Meromorphic functions in the unit disc that share slowly growing functions in an angular domain ⋮ Meromorphic functions sharing four small functions ⋮ On the multiple values and uniqueness of meromorphic functions on annuli ⋮ MEROMORPHIC FUNCTIONS SHARING SMALL FUNCTIONS AS TARGETS ⋮ Meromorphic functions on annuli sharing few small functions with truncated multiplicities ⋮ The partially shared values and small functions for meromorphic functions in a \(k\)-punctured complex plane ⋮ Uniqueness theorem of meromorphic function concerning small functions on annuli

Cites Work

• Unicity theorems for meromorphic functions sharing four small functions
• Some generalizations of the unicity theory of Nevanlinna
• An extension of unicity theorem for meromorphic functions
• The uniqueness of meromorphic functions concerning small functions
• Uniqueness of entire functions sharing four small functions
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