On the construction of solutions of linear differential equations according to given sequences

DOI10.1007/S11253-018-1462-7zbMath1403.34069OpenAlexW2800672890WikidataQ129833303 ScholiaQ129833303MaRDI QIDQ1617857

O. V. Shavala

Publication date: 8 November 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1462-7

zbMATH Keywords

entire (meromorphic) solutionsequences of zeros (poles) and critical points

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• Solutions of \(f+A (z) f=0\) in the unit disc having Blaschke sequences as the zeros
• On the sequences of zeros of holomorphic solutions of linear second-order differential equations
• On the holomorphic solutions of the equation \(f+a_{0}f=0\), the zeros of which satisfy the Blaschke condition
• A note on the zero-sequences of solutions of linear differential equations
• Interpolation of analytic functions of moderate growth in the unit disc and zeros of solutions of a linear differential equation
• A Survey on Blaschke-Oscillatory Differential Equations, with Updates
• A note on the zero-sequences of solutions of 𝑓”+𝐴𝑓=0

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