Linear differential equations with entire coefficients of \([p,q]\)-order in the complex plane

DOI10.1016/j.jmaa.2010.05.014zbMath1209.34110OpenAlexW1965051237MaRDI QIDQ2637931

Jie Liu, Ling-Zhi Shi, Jin Tu

Publication date: 13 September 2010

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.2010.05.014

zbMATH Keywords

linear differential equations\([p, q\)-order]\([p, q\) exponent of convergence of zero sequence]

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) 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 (15)

Unnamed Item ⋮ On \([p,q_{,\varphi }\)-order and complex differential equations] ⋮ On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of (p,q)-order ⋮ ON GROWTH PROPERTIES OF TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF HIGHER ORDER ⋮ Unnamed Item ⋮ Unnamed Item ⋮ GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE ⋮ Unnamed Item ⋮ A collocation method to find solutions of linear complex differential equations in circular domains ⋮ Complex oscillation of a second-order linear differential equation with entire coefficients of \([p, q-\varphi \) order] ⋮ Complex linear differential equations with certain analytic coefficients of \([p, q\)-order in the unit disc] ⋮ Some properties of meromorphic solutions of linear differential equation with meromorphic coefficients ⋮ Unnamed Item ⋮ Complex oscillation of linear differential equations with analytic coefficients of \([p,q\)-order in the unit disc] ⋮ Meromorphic solutions to linear differential equations with entire coefficients of [p,q-order]

Cites Work

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• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
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• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
• [https://portal.mardi4nfdi.de/wiki/Publication:5751153 On the Growth of Solutions of f � � + gf � + hf = 0]

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