Entire solutions of certain type binomial differential equations

DOI10.1007/S13324-023-00784-ZOpenAlexW4320038832MaRDI QIDQ2684881

Manli Liu, Pei-Chu Hu, Lin-Lin Wu

Publication date: 17 February 2023

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

Full work available at URL: https://doi.org/10.1007/s13324-023-00784-z

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)

Cites Work

• Picard values of meromorphic functions and their derivatives
• On the zeros of a meromorphic function and its derivatives
• Nevanlinna theory and complex differential equations
• Über die Nullstellen homogener Differentialpolynome
• On differential polynomials, fixpoints and critical values of meromorphic functions
• On the zeros of certain homogeneous differential polynomials
• Entire solutions of binomial differential equations
• Entire solutions of differential equations that are related to trigonometric identities
• Über eine Vermutung von Hayman
• On homogeneous differential polynomials of meromorphic functions
• Proof of a Conjecture of Hayman Concerning f and f ″
• A NOTE ON A PROBLEM OF HAYMAN
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