The growth of meromorphic solutions for a class of higher-order linear differential equations

In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained. †Dedicated to Professor We...

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Published inApplicable analysis Vol. 85; no. 9; pp. 1189 - 1199
Main Authors Liu, Ming-Sheng, Yuan, Chun-Ling
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.09.2006
Subjects
AMS Subject Classifications 2000: 30D35
Hyper-order
Linear differential equation
Meromorphic function
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ISSN0003-6811
1563-504X
DOI10.1080/00036810600835227

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Abstract In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained. †Dedicated to Professor Wei Lin on the occasion of his 70th birthday.
AbstractList In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained. †Dedicated to Professor Wei Lin on the occasion of his 70th birthday.
Author Yuan, Chun-Ling
Liu, Ming-Sheng
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Cites_doi 10.1017/S0308210500014451
10.1112/jlms/s2-37.121.88
10.1007/BF02566887
10.14492/hokmj/1381758109
10.1515/9783110863147
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10.2996/kmj/1138036197
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Hayman W (CIT0001) 1964
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SubjectTerms AMS Subject Classifications 2000: 30D35
Hyper-order
Linear differential equation
Meromorphic function
Title The growth of meromorphic solutions for a class of higher-order linear differential equations
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