On the oscillation of solutions of certain linear differential equations in the complex domain

DOI10.1017/S0013091500026857zbMath0596.30049MaRDI QIDQ3728336

Steven B. Bank, James K. Langley

Publication date: 1987

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

zbMATH Keywords

Borel exceptional value

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Ordinary differential equations in the complex domain (34M99)

Related Items (17)

Research questions on meromorphic functions and complex differential equations ⋮ On determining the location of complex zeros of solutions of certain linear differential equations ⋮ On the uniqueness results and value distribution of meromorphic mappings ⋮ On the oscillation of certain second-order linear differential equations ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ On entire function \(e^{p(z)}\int_0^z \beta (t)e^{-p(t)}dt\) with applications to Tumura-Clunie equations and complex dynamics ⋮ A note on complex oscillation theory ⋮ Oscillation results for solutions of linear differential equations in the complex domain ⋮ The distribution of zeros of finite order Bank-Laine functions ⋮ On the zeros of the solutions of the equation \(w^{(k)} + (Re^ p + Q)w = 0\) ⋮ Bank-Laine functions with sparse zeros ⋮ On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order ⋮ On the frequency of complex zeros of solutions of certain differential equations ⋮ Finite Order Solutions of Second Order Linear Differential Equations ⋮ Complex oscillation and nonoscillation results ⋮ A note on the oscillation of solutions of periodic linear differential equations ⋮ Finite Order Solutions of Second Order Linear Differential Equations

Cites Work

• Über die Nullstellen von Lösungen linearer Differentialgleichungen
• Ein Vergleichssatz für komplexe lineare Differentialgleichungen. (A comparison theorem for complex linear differential equations)
• Slowly growing integral and subharmonic functions
• On the growth of meromorphic solutions of linear and algebraic differential equations.
• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
• Some theorems on perturbation theory

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