Complex oscillation of solutions of a third order ODE

Aimo Hinkkanen; Katsuya Ishizaki; Ilpo Laine; Kin Y. Li

doi:10.5186/aasfm.2020.4527

Complex oscillation of solutions of a third order ODE

Aimo Hinkkanen, Katsuya Ishizaki, Ilpo Laine, Kin Y. Li

Mathematics

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

Abstract

We solve a determinant problem related to a third order complex linear differential equation studied by Chiang, Laine and Wang. As a consequence, a simple procedure to explicit determination of the corresponding solutions is presented.

Original language	English (US)
Pages (from-to)	451-466
Number of pages	16
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	45
Issue number	1
DOIs	https://doi.org/10.5186/aasfm.2020.4527
State	Published - 2020

Keywords

Complex oscillation theory
Exponent of convergence
Special determinants

ASJC Scopus subject areas

General Mathematics

Online availability

10.5186/aasfm.2020.4527

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title = "Complex oscillation of solutions of a third order ODE",

abstract = "We solve a determinant problem related to a third order complex linear differential equation studied by Chiang, Laine and Wang. As a consequence, a simple procedure to explicit determination of the corresponding solutions is presented.",

keywords = "Complex oscillation theory, Exponent of convergence, Special determinants",

author = "Aimo Hinkkanen and Katsuya Ishizaki and Ilpo Laine and Li, {Kin Y.}",

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T1 - Complex oscillation of solutions of a third order ODE

AU - Hinkkanen, Aimo

AU - Ishizaki, Katsuya

AU - Laine, Ilpo

AU - Li, Kin Y.

N1 - Publisher Copyright: © Finnish Academy of Science and Letters.

PY - 2020

Y1 - 2020

N2 - We solve a determinant problem related to a third order complex linear differential equation studied by Chiang, Laine and Wang. As a consequence, a simple procedure to explicit determination of the corresponding solutions is presented.

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KW - Complex oscillation theory

KW - Exponent of convergence

KW - Special determinants

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JF - Annales Academiae Scientiarum Fennicae Mathematica

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Complex oscillation of solutions of a third order ODE

Abstract

Keywords

ASJC Scopus subject areas

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