Uniform separation, hyperbolic geodesics and zero distribution of solutions of linear differential equations

Janne Gröhn; Artur Nicolau

doi:10.1112/blms.12036

Uniform separation, hyperbolic geodesics and zero distribution of solutions of linear differential equations

Janne Gröhn, Artur Nicolau

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

© 2017 London Mathematical Society. It is shown that a separated sequence of points in the unit disc of the complex plane is in fact uniformly separated if there exists an intermediate sequence, containing a point from each hyperbolic geodesic which connects any two points from the original sequence, and whose separated subsequences are uniformly separated. This result is applied to improve recent results on the zero distribution of solutions of linear differential equations in the unit disc.

Original language	English
Pages (from-to)	380-390
Journal	Bulletin of the London Mathematical Society
Volume	49
Issue number	3
DOIs	https://doi.org/10.1112/blms.12036
Publication status	Published - 1 Jun 2017

Keywords

34C10 (primary)

Access to Document

10.1112/blms.12036

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abstract = "{\textcopyright} 2017 London Mathematical Society. It is shown that a separated sequence of points in the unit disc of the complex plane is in fact uniformly separated if there exists an intermediate sequence, containing a point from each hyperbolic geodesic which connects any two points from the original sequence, and whose separated subsequences are uniformly separated. This result is applied to improve recent results on the zero distribution of solutions of linear differential equations in the unit disc.",

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AU - Nicolau, Artur

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N2 - © 2017 London Mathematical Society. It is shown that a separated sequence of points in the unit disc of the complex plane is in fact uniformly separated if there exists an intermediate sequence, containing a point from each hyperbolic geodesic which connects any two points from the original sequence, and whose separated subsequences are uniformly separated. This result is applied to improve recent results on the zero distribution of solutions of linear differential equations in the unit disc.

AB - © 2017 London Mathematical Society. It is shown that a separated sequence of points in the unit disc of the complex plane is in fact uniformly separated if there exists an intermediate sequence, containing a point from each hyperbolic geodesic which connects any two points from the original sequence, and whose separated subsequences are uniformly separated. This result is applied to improve recent results on the zero distribution of solutions of linear differential equations in the unit disc.

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DO - 10.1112/blms.12036

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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