Some results of meromorphic solutions of second-order linear differential equations

DOI10.1186/1029-242X-2013-304zbMath1296.34177WikidataQ59301213 ScholiaQ59301213MaRDI QIDQ2437716

Jun-Feng Xu, Xiao-Bin Zhang

Publication date: 13 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

linear differential equationsmeromorphic solutionsorder of growthhyper-orderfixed points.

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)

Related Items (4)

Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients ⋮ Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations ⋮ Hyper-order and fixed points of meromorphic solutions of higher order linear differential equations ⋮ On the growth of meromorphic solutions of some higher order linear differential equations

Cites Work

• On the meromorphic solutions of linear differential equations on the complex plane
• On the growth and fixed points of solutions of second order differential equations with meromorphic coefficients
• GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• 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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