Reality of the Zeros of An Entire Function and Its Derivatives
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Publication:3663597
DOI10.2307/1999022zbMath0516.30022OpenAlexW4238308342MaRDI QIDQ3663597
Jack Williamson, Simon Hellerstein, Li-Chien Shen
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/1999022
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)
Related Items (10)
Real Zeros of Derivatives of Meromorphic Functions and Solutions of Second Order Differential Equations ⋮ Zeros of derivatives of strictly nonreal meromorphic functions ⋮ Zeros of derivatives of meromorphic functions ⋮ Non-real zeros of derivatives of meromorphic functions ⋮ Critical points of real entire functions and a conjecture of Pólya ⋮ On a Problem of Hellerstein, Shen and Williamson ⋮ Real meromorphic functions and linear differential polynomials ⋮ Real meromorphic functions and a result of Hinkkanen and Rossi ⋮ Derivatives of Meromorphic Functions of Finite Order ⋮ On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
Cites Work
- Picard values of meromorphic functions and their derivatives
- On the zeros of an entire function and its second derivative
- On Borel's directions of meromorphic functions of finite order
- 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
- On the dependence of the growth of an entire function on the distribution of the zeros of its derivatives (On a question of G. Pólya and A. Wiman)
- Half-Plane Tumura-Clunie Theorems and the Real Zeros of Successive Derivatives†
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- Meromorphic Functions with Three Radially Distributed Values
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