Solutions of higher order linear differential equations in an angle

DOI10.1016/J.AML.2008.06.021zbMath1170.34357OpenAlexW2079282412MaRDI QIDQ1021868

Hong-Xun Yi, Jun-Feng Xu

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.021

zbMATH Keywords

analytic functionmeromorphic functionlinear differential equationgrowth orderthe angle

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Linear ordinary differential equations and systems (34A30) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (5)

Bounds for products of zeros of solutions to nonhomogeneous ODE with polynomial coefficients ⋮ Growth of Solutions of Complex Differential Equations in a Sector of the Unit Disc ⋮ On the growth order of solutions of linear differential equations in a sector of the unit disk ⋮ The radial oscillation of entire solutions of complex differential equations ⋮ Sums of zeros of solutions to non-homogeneous ODE with polynomial coefficients

Cites Work

• A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
• Finite Order Solutions of Second Order Linear Differential Equations
• On the growth of solutions of second order linear differential equations in an angle
• On the Location of Zeros of Solutions of $f + A(z)f = 0$ where $A(z)$ is Entire.
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