Entire solutions of binomial differential equations

DOI10.1007/S40315-021-00384-7zbMath1502.34100OpenAlexW3151673112WikidataQ115373056 ScholiaQ115373056MaRDI QIDQ2129478

Gary G. Gundersen, Chung-Chun Yang

Publication date: 22 April 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-021-00384-7

zbMATH Keywords

entire functionNevanlinna theorymeromorphic functionnonlinear differential equationbinomial differential equation

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Related Items (4)

On meromorphic solutions of nonlinear complex difference equations ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ Entire solutions of certain type binomial differential equations ⋮ Entire solutions of differential equations that are related to trigonometric identities

Cites Work

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• Picard values of meromorphic functions and their derivatives
• Über die Nullstellen homogener Differentialpolynome
• On differential polynomials, fixpoints and critical values of meromorphic functions
• On the zeros of certain homogeneous differential polynomials
• Über eine Vermutung von Hayman
• Proof of a Conjecture of Hayman Concerning f and f ″
• A lower bound for the number of zeros of a meromorphic function and its second derivative

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