Growth and oscillation of some polynomials generated by solutions of complex differential equations

DOI10.7494/OpMath.2015.35.1.85zbMath1332.34140OpenAlexW2090999336MaRDI QIDQ3459006

Benharrat Belaïdi, Zinelâabidine Latreuch

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2015.35.1.85

zbMATH Keywords

linear differential equationsfinite orderexponent of convergence of the sequence of distinct zeroshyper-exponent of convergence of the sequence of distinct zeros

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) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• On the zeros of meromorphic solutions of second-order linear differential equations
• On the meromorphic solutions of linear differential equations on the complex plane
• Nevanlinna theory and complex differential equations
• The complex oscillation theory of certain non-homogeneous linear differential equations with transcendental entire coefficients
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order
• Quantitative estimations on the zeros and growths of entire solutions of linear differential equations
• Oscillation theory for higher order linear differential equations with entire coefficients
• Streng converse inequality for the F operators
• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
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