Finite order solutions of linear differential equations in the unit disc

DOI10.1016/J.JMAA.2008.08.012zbMath1165.34054OpenAlexW2066601492MaRDI QIDQ952143

Jouni Rättyä, Risto Korhonen

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.012

zbMATH Keywords

Bergman spacedifferential equationunit diskorder of growthzeros of solutionsgrowth of solutions

Mathematics Subject Classification ID

Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (12)

Finiteness of \(\varphi \)-order of solutions of linear differential equations in the unit disc ⋮ Linear differential equations with solutions in the \(Q_K\) spaces ⋮ Zero separation results for solutions of second order linear differential equations ⋮ Possible intervals for \(T\)- and \(M\)-orders of solutions of linear differential equations in the unit disc ⋮ Nonlinear differential equation and analytic function spaces ⋮ SHARP LOGARITHMIC DERIVATIVE ESTIMATES WITH APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS IN THE UNIT DISC ⋮ Value distribution for a class of small functions in the unit disk ⋮ Zero distribution of solutions of complex linear differential equations determines growth of coefficients ⋮ Generalized Schwarzian derivatives and higher order differential equations ⋮ Intersections and unions of a general family of function spaces ⋮ A Survey on Blaschke-Oscillatory Differential Equations, with Updates ⋮ Complex oscillation of linear differential equations with analytic coefficients of \([p,q\)-order in the unit disc]

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