Real Zeros of Derivatives of Meromorphic Functions and Solutions of Second Order Differential Equations

DOI10.2307/1999462zbMath0549.30021OpenAlexW4245038494MaRDI QIDQ3342836

Jack Williamson, Li-Chien Shen, Simon Hellerstein

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999462

zbMATH Keywords

meromorphic functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (13)

Non-real zeros of derivatives of real meromorphic functions ⋮ Zeros of meromorphic solutions of second order linear differential equations ⋮ Zeros of derivatives of strictly nonreal meromorphic functions ⋮ Zeros of derivatives of meromorphic functions ⋮ Non-real zeros of derivatives of meromorphic functions ⋮ Second order linear differential polynomials and real meromorphic functions ⋮ Zeros of derivatives of real meromorphic functions ⋮ Bank-Laine functions with real zeros ⋮ The radial oscillation of solutions to ode's in the complex domain ⋮ Real meromorphic functions and linear differential polynomials ⋮ Real meromorphic functions and a result of Hinkkanen and Rossi ⋮ Linear Differential Equations with Exceptional Fundamental Sets. II ⋮ Derivatives of Meromorphic Functions of Finite Order

Cites Work

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• Reality of the Zeros of An Entire Function and Its Derivatives
• The Zeros of the Second Derivative of the Reciprocal of an Entire Function
• The Reciprocal of an Entire Function of Infinite Order ond the distribution of the Zeros of its Second Derivative
• Derivatives of Entire Functions and A Question of Polya
• Derivatives of Entire Functions and a Question of Polya. II
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• On the zeros of the derivatives of a function and its analytic character
• Meromorphic Functions with Three Radially Distributed Values

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