Relation between differential polynomials and small functions

DOI10.1215/0023608X-2009-019zbMath1203.34148OpenAlexW1973652759MaRDI QIDQ983876

Benharrat Belaïdi, Abdallah El Farissi

Publication date: 13 July 2010

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/0023608x-2009-019

zbMATH Keywords

oscillationgrowth of solutions

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)

Related Items

Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations ⋮ Relation between small functions with differential polynomials generated by solutions of linear differential equations ⋮ Relations between solutions of differential equations and small functions ⋮ Unnamed Item

Cites Work

• Non-existence of finite order solutions of \(w+e^{-z}w'+Q(z)w=0\)
• On complex oscillation and a problem of Ozawa
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• Growth of solutions of second order linear differential equations
• On the growth and fixed points of solutions of second order differential equations with meromorphic coefficients
• Über die subnormalen Lösungen der Differentialgleichung \(w+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• On the Meromorphic Solutions of Non-Homogeneous Linear Differential Equations with Polynomial Coefficients
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• Finite Order Solutions of Second Order Linear Differential Equations
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Streng converse inequality for the F operators
• Fixed Points and Hyper Order of Differential Polynomials Generated by Solutions of Differential Equation
• Differential polynomials generated by linear differential equations
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