单位圆内高阶非齐次线性微分方程解及其任意阶导数的值分布
O174.52; 研究高阶非齐次线性微分方程f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z)解及其任意阶导数的值分布,其中系数是单位圆内[p,q]级有限的解析函数或者亚纯函数.得到了一些关于f(j)(z)φ(z)的复振荡定理,丰富和完善了前人的相关结论.
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| Published in | 南昌大学学报（理科版） Vol. 48; no. 4; pp. 314 - 337 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
上饶师范学院数学与计算科学学院,江西上饶 334001%南昌交通学院,江西南昌 330100%江西师范大学数学与统计学院,江西南昌 330022
2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1006-0464 |
| DOI | 10.3969/j.issn.1006-0464.2024.04.002 |
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| Abstract | O174.52; 研究高阶非齐次线性微分方程f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z)解及其任意阶导数的值分布,其中系数是单位圆内[p,q]级有限的解析函数或者亚纯函数.得到了一些关于f(j)(z)φ(z)的复振荡定理,丰富和完善了前人的相关结论. |
|---|---|
| AbstractList | O174.52; 研究高阶非齐次线性微分方程f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z)解及其任意阶导数的值分布,其中系数是单位圆内[p,q]级有限的解析函数或者亚纯函数.得到了一些关于f(j)(z)φ(z)的复振荡定理,丰富和完善了前人的相关结论. |
| Abstract_FL | In this paper,we studied the value distribution of solutions and their arbitrary-order derivatives of the higher-or-der non-homogeneous linear differential equation f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z),where the coeffi-cients were analytic functions or meromorphic functions of finite[p,q]-order in the unit disc.We obtained some oscillation the-orems for f(j)(z)-φ(z),which were generalizations and improvements of some previous theorems. |
| Author | 涂金 龚攀 钟希杰 |
| AuthorAffiliation | 上饶师范学院数学与计算科学学院,江西上饶 334001%南昌交通学院,江西南昌 330100%江西师范大学数学与统计学院,江西南昌 330022 |
| AuthorAffiliation_xml | – name: 上饶师范学院数学与计算科学学院,江西上饶 334001%南昌交通学院,江西南昌 330100%江西师范大学数学与统计学院,江西南昌 330022 |
| Author_FL | TU Jin ZHONG Xijie GONG Pan |
| Author_FL_xml | – sequence: 1 fullname: GONG Pan – sequence: 2 fullname: ZHONG Xijie – sequence: 3 fullname: TU Jin |
| Author_xml | – sequence: 1 fullname: 龚攀 – sequence: 2 fullname: 钟希杰 – sequence: 3 fullname: 涂金 |
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| ClassificationCodes | O174.52 |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| DOI | 10.3969/j.issn.1006-0464.2024.04.002 |
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| DocumentTitle_FL | Value distribution of solutions of the higher-order non-homogeneous linear differential equations and their arbitrary-order derivatives in the unit disc |
| EndPage | 337 |
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| Keywords | analytic functions [p,q]型 differential equation 微分方程 [p,q]-type 解析函数 [p,q]级 [pq]-order |
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| Snippet | O174.52; 研究高阶非齐次线性微分方程f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z)解及其任意阶导数的值分布,其中系数是单位圆内[p,q]级有限的解析函数或者亚纯函数.得到了一些关于f(j)(z)φ(z)的复振荡定理,丰富和完善了前人的相关结论. |
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| Title | 单位圆内高阶非齐次线性微分方程解及其任意阶导数的值分布 |
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