Meromorphic functions that share fixed-points

DOI10.1006/jmaa.2000.7270zbMath1030.30028OpenAlexW2023504129MaRDI QIDQ1604253

Huiling Qiu, Ming-Liang Fang

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7270

zbMATH Keywords

fixed pointuniqueness theoremmeromorphic 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 (30)

On an open problem of Xiao-Bin Zhang and Jun-Feng Xu ⋮ Value-sharing and uniqueness of entire functions ⋮ Some results on uniqueness of meromorphic functions sharing a polynomial ⋮ Uniqueness theorems for entire functions concerning fixed points ⋮ On a result of Zhang and Xu concerning their open problem ⋮ Uniqueness of meromorphic functions sharing two values ⋮ Uniqueness of meromorphic functions sharing a nonzero polynomial with finite weight ⋮ Uniqueness of meromorphic functions sharing a value ⋮ Meromorphic functions sharing fixed points and poles with finite weights ⋮ Uniqueness of meromorphic functions sharing one value or fixed points ⋮ A polynomial shared by certain differential polynomials ⋮ Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials ⋮ On a conjecture of Y. H. Cao and X. B. Zhang ⋮ Further results on uniqueness of meromorphic functions concerning fixed points ⋮ Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function ⋮ Certain non-linear differential polynomials having common poles sharing a non zero polynomial with finite weight ⋮ On a certain nonlinear differential monomial sharing a nonzero polynomial ⋮ On certain non-linear differential polynomial sharing a non-zero polynomial ⋮ Meromorphic functions sharing a small function ⋮ Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials ⋮ Non linear differential polynomials sharing fixed points with finite weights ⋮ Value sharing of meromorphic functions and some questions of Dyavanal ⋮ Uniqueness of meromorphic functions sharing a small function and its applications ⋮ Fixed-points and uniqueness of meromorphic functions ⋮ Further investigation "On an open problem of Zhang and Xu" ⋮ Unnamed Item ⋮ Small function sharing results on uniqueness of meromorphic functions concerning differential polynomials ⋮ On an open problem of Zhang and Xu ⋮ Unnamed Item ⋮ Uniqueness of meromorphic functions and their differential polynomials

Cites Work

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• Picard values of meromorphic functions and their derivatives
• Über ein Problem von Hayman
• On the singularities of the inverse to a meromorphic function of finite order
• The value distribution of \(f^ n f'\)
• Meromorphic functions sharing one value and unique range sets
• On deficiencies of differential polynomials. II
• Meromorphic Functions That Share Four Values
• A NOTE ON A PROBLEM OF HAYMAN
• On a Result of Hayman

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