Standard solutions of complex linear differential equations

A meromorphic solution of a complex linear differential equation (with meromorphic coefficients) for which the value zero is the only possible finite deficient/deviated value is called a standard solution. Conditions for the existence and the number of standard solutions are discussed for various types of deficient and deviated values.

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Publication Details

Journal
Annales Fennici Mathematici
Published
2024-11-25
DOI
https://doi.org/10.54330/afm.152368
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

Standard solutions of complex linear differential equations

Hui Yu, Janne Heittokangas, Mohamed Amine Zemirni, Samu Pulkkinen
Annales Fennici Mathematici
Meromorphic and Entire Functions
article

Standard solutions of complex linear differential equations

Hui Yu, Janne Heittokangas, Mohamed Amine Zemirni, Samu Pulkkinen
article en

Abstract

A meromorphic solution of a complex linear differential equation (with meromorphic coefficients) for which the value zero is the only possible finite deficient/deviated value is called a standard solution. Conditions for the existence and the number of standard solutions are discussed for various types of deficient and deviated values.

Annales Fennici MathematiciVol. 49(2)
University of Eastern Finland (FI), Finland University (FI), Dalian Maritime University (CN)
Openalex Percentile: Top 65%
Meromorphic and Entire Functions
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