Possible intervals for \(T\)- and \(M\)-orders of solutions of linear differential equations in the unit disc

DOI10.1155/2011/928194zbMath1230.34078OpenAlexW1987359425WikidataQ58654539 ScholiaQ58654539MaRDI QIDQ642738

Jouni Rättyä, Janne Gröhn, Janne Heittokangas, Martin Chuaqui Farrú

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/928194

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Cites Work

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• An extension of the Nevanlinna theory
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• Zero distribution of solutions of complex linear differential equations determines growth of coefficients
• SHARP LOGARITHMIC DERIVATIVE ESTIMATES WITH APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS IN THE UNIT DISC
• DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF SLOW GROWTH IN THE UNIT DISC
• The possible orders of solutions of linear differential equations with polynomial coefficients
• Linear Differential Equations and Logarithmic Derivative Estimates
• Linear differential equations with coefficients in weighted Bergman and Hardy spaces

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