On the periodicity of entire functions

DOI10.1007/S00025-020-01302-4zbMath1451.30057OpenAlexW3094783728MaRDI QIDQ2210837

Xiaoxue Zhang, Weiran Lü

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01302-4

zbMATH Keywords

periodicityentire functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

The class of meromorphic functions sharing values with their difference polynomials ⋮ New findings on the periodicity of entire functions and their differential polynomials ⋮ Entire solutions of differential equations that are related to trigonometric identities ⋮ The periodicity of entire functions with finite order ⋮ On a theorem of A. and C. Rényi and a conjecture of C. C. Yang concerning periodicity of entire functions ⋮ The periodicity of differential-difference polynomials of entire functions

Cites Work

• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Holomorphic curves with shift-invariant hyperplane preimages
• Zeros of differences of meromorphic functions
• ON THE PERIODICITY OF TRANSCENDENTAL ENTIRE FUNCTIONS
• GENERALIZED YANG'S CONJECTURE ON THE PERIODICITY OF ENTIRE FUNCTIONS
• A NOTE ON THE PERIODICITY OF ENTIRE FUNCTIONS
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