The possible orders of growth of solutions to certain linear differential equations near a singular point

DOI10.1016/J.JMAA.2017.10.005zbMath1382.34097OpenAlexW2762147674MaRDI QIDQ1682091

Saada Hamouda

Publication date: 28 November 2017

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.2017.10.005

zbMATH Keywords

linear differential equationgrowth of solutions near a singular point

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (8)

Linear differential equations with analytic coefficients having the same order near a singular point ⋮ Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point ⋮ Growth of Solutions of a Class of Linear Differential Equations Near a Singular Point ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the growth of solutions of complex linear differential equations with analytic coefficients in \(\overline{\mathbb{C}}\backslash\{z_0\}\) of finite logarithmic order ⋮ On [p,q-order of growth of solutions of complex linear differential equations near a singular point] ⋮ Growth of solutions to linear differential equations with analytic coefficients in a punctured disc

Cites Work

• Logarithmic derivatives in annuli
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• Über das Anwachsen der Lösungen linearer Differentialgleichungen
• Linear differential equations in the unit disc with analytic solutions of finite order
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• The possible orders of solutions of linear differential equations with polynomial coefficients
• A Generalization of a Theorem of Bôcher
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