A lower bound for the number of zeros of a meromorphic function and its second derivative

DOI10.1017/S0013091500022884zbMath0865.30048MaRDI QIDQ4893695

James K. Langley

Publication date: 30 June 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (8)

Normal families and shared values of meromorphic functions III ⋮ Nonvanishing derivatives and normal families ⋮ Entire solutions of binomial differential equations ⋮ Non-real zeroes of real entire derivatives ⋮ On the zeros of the second derivative ⋮ On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities ⋮ Multiplicities in Hayman's alternative ⋮ On differential polynomials, fixpoints and critical values of meromorphic functions

Cites Work

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• Picard values of meromorphic functions and their derivatives
• On the frequency of multiple values of a meromorphic function of small order
• The distribution of values of certain entire and meromorphic functions
• Eine Vemutung von Hayman über Nullstellen meromorpher Funktionen
• Über die Nullstellen meromorpher Funktionen und deren Ableitungen
• On second order linear differential polynomials
• On the zeros of certain homogeneous differential polynomials
• Über eine Vermutung von Hayman
• On the Meromorphic Solutions of Non-Homogeneous Linear Differential Equations with Polynomial Coefficients
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Proof of a Conjecture of Hayman Concerning f and f ″
• On the fixpoints of composite entire functions of finite order

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