Zeros of Derivatives of Entire Functions

DOI10.2307/2046003zbMath0645.30020OpenAlexW4247721108MaRDI QIDQ3788261

Thomas C. Craven, George Csordas, Wayne Smith

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046003

zbMATH Keywords

Pólya-Wiman conjecture

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (11)

Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions ⋮ On the Pólya-Wiman properties of differential operators ⋮ Zeros of derivatives of meromorphic functions ⋮ Second order linear differential polynomials and real meromorphic functions ⋮ On the number of real critical points of logarithmic derivatives and the Hawaii conjecture ⋮ Zeros of derivatives of real meromorphic functions ⋮ Critical points of real entire functions and a conjecture of Pólya ⋮ Bounds for zeros of entire functions ⋮ Differentiation evens out zero spacings ⋮ On location in a half-plane of zeros of perturbed first order entire functions ⋮ On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture

Cites Work

• Unnamed Item
• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• Über eine asymptotische Eigenschaft der Ableitungen der ganzen Funktionen von den Geschlechtern 1 und 2 mit einer endlichen Anzahl von Nullstellen
• Über die Realität der Nullstellen fast aller Ableitungen gewisser ganzer Funktionen

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