Onα-Polynomial Regular Functions, with Applications to Ordinary Differential Equations

DOI10.1017/S0013091514000017zbMath1302.30038MaRDI QIDQ5419408

Peter C. Fenton, John Rossi, Jouni Rättyä, Janne Gröhn, Janne Heittokangas

Publication date: 6 June 2014

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

zbMATH Keywords

linear differential equationgrowth of solutionsannular functionpolynomial reqular function, Wiman-Valiron method

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Asymptotic representations in the complex plane (30E15) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (1)

Functions of finite logarithmic order in the unit disc. II

Cites Work

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• Bounded mean oscillation of Bloch pull-backs
• Strongly annular functions in Bergman space
• ODEs and Wiman-Valiron theory in the unit disc
• A residual class of holomorphic functions
• An extension of the Nevanlinna theory
• Some conditions on Bergman space zero sets
• Weighted Bergman spaces induced by rapidly incresing weights
• SHARP LOGARITHMIC DERIVATIVE ESTIMATES WITH APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS IN THE UNIT DISC
• Wiman-Valiron theory in the disc
• Strongly annular functions with given singular values.
• The possible orders of solutions of linear differential equations with polynomial coefficients
• On the zeros of Bloch functions
• Holomorphic \(Q\) classes

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