Zeros of meromorphic solutions of second order linear differential equations

DOI10.1007/BF01162707zbMath0678.34007MaRDI QIDQ1124017

Simon Hellerstein, John Rossi

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173760

zbMATH Keywords

meromorphic solutionsNevanlinna functions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (9)

Asymptotic integration theory for \(f + P(z) f = 0\) ⋮ Research questions on meromorphic functions and complex differential equations ⋮ Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients ⋮ An application of the spread relation to differential equations ⋮ On the zeros of second order linear differential polynomials ⋮ Bounds for zeros of solutions of second order differential equations with polynomial coefficients ⋮ On the zeros of certain linear differential polynomials ⋮ Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey ⋮ The radial oscillation of solutions to ode's in the complex domain

Cites Work

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• On the zeros of meromorphic solutions of second-order linear differential equations
• Über Riemannsche Flächen mit endlich vielen Windungspunkten
• Real Zeros of Derivatives of Meromorphic Functions and Solutions of Second Order Differential Equations
• Über eine Klasse Riemannscher Flächen mit endlich vielen nur logarithmischen Windungspunkten.

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