Entire solutions of \(f(kz)=kf(z)f^\prime(z)\)

DOI10.1007/BF03321827zbMath1252.34100OpenAlexW2019001928MaRDI QIDQ428961

Alan F. Beardon

Publication date: 25 June 2012

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

Full work available at URL: http://www.heldermann.de/CMF/CMF12/CMF121/cmf12019.htm

zbMATH Keywords

entire functionsdifferential functional equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Representations of entire functions of one complex variable by series and integrals (30D10) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (7)

Normal forms of functional-differential equations of Beardon type and Briot-Bouquet type equations in the complex domain ⋮ Growth of the solutions of some \(q\)-difference differential equations ⋮ Growth of meromorphic solutions of certain types of \(q\)-difference differential equations ⋮ On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type ⋮ On a question of Beardon ⋮ A remark on Schröder's equation: formal and analytic linearization of iterative roots of the power series \(f(z)=z\) ⋮ The existence and growth of solutions for several systems of complex nonlinear difference equations

Cites Work

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