Meromorphic functions that share a set with their derivatives

DOI10.1016/j.jmaa.2007.05.079zbMath1160.30014OpenAlexW2054403634MaRDI QIDQ2473955

Lawrence Zalcman, Jian Ming Chang

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.079

zbMATH Keywords

meromorphic functionsshared values

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)

Related Items (24)

A new Picard type theorem concerning elliptic functions ⋮ Derivatives of meromorphic functions with multiple zeros and elliptic functions ⋮ Normal families of meromorphic functions sharing values or functions ⋮ On a result of Zhang and Xu concerning their open problem ⋮ REMARKS ON VALUE SHARING OF CERTAIN DIFFERENTIAL POLYNOMIALS OF MEROMORPHIC FUNCTIONS ⋮ Meromorphic functions sharing a set with their differential monomials ⋮ Normal family and the sequence of omitted functions ⋮ Entire function sharing two values with its \(k\)th derivative with the glint of normal family ⋮ On the family of meromorphic functions whose derivatives omit a holomorphic function ⋮ A normality criterion corresponding to the defect relations ⋮ Value sharing of non linear differential polynomials with the glimpse of normal family ⋮ A normal criterion about two families of meromorphic functions concerning shared values ⋮ Meromorphic solutions of the differential equation $(f^{n})^{(k)}(g^{n})^{(k)}=1$ and its applications ⋮ Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials ⋮ On a certain nonlinear differential monomial sharing a nonzero polynomial ⋮ On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\) ⋮ Value sharing of certain differential polynomials and their shifts of meromorphic functions ⋮ A note on meromorphic functions that share a set with their derivatives ⋮ Shared values, Picard values and normality ⋮ Q-shift differential polynomial of meromorphic functions sharing 1 value ⋮ Normality concerning shared values ⋮ On the uniqueness problems of meromorphic functions and their linear differential polynomials ⋮ On an open problem of Zhang and Xu ⋮ A quasinormal criterion of meromorphic functions and its application

Cites Work

• Normal families and uniqueness theorems for entire functions
• The spherical derivative of integral and meromorphic functions
• Normal families: New perspectives
• Normal Families and Shared Values
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