| 广义Laplace-Stieltjes变换的(p,q)级 |
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| 引用本文： | 宁菊红,陈菁菁,邓冠铁.广义Laplace-Stieltjes变换的(p,q)级[J].北京师范大学学报(自然科学版),2017,53(3). |
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| 作者姓名： | 宁菊红 陈菁菁 邓冠铁 |
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| 作者单位： | 江西师范大学数学与信息科学学院,330022,江西南昌;北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了定义在右半平面的一条从原点出发的Jordan曲线上的广义Laplace-Stieltjes变换所表示的整函数F(s)的增长性.首先定义F(s)在圆周|z|=r上的最大模M(r,F)和最大项m(r,F);其次介绍由最大模所表示的(p,q)级;最后经过研究发现了由最大模所表示的(p,q)级与A_n、λ_n(n=1,2,…)所表示的(p,q)级之间的等价关系.
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| 关 键 词： | 广义Laplace-Stieltjes变换 整函数 最大模 最大项 (p q)级 |
The (p,q) order of generalized Laplace-Stieltjes transforms |
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| NING Juhong,CHEN Jingjing,DENG Guantie.The (p,q) order of generalized Laplace-Stieltjes transforms[J].Journal of Beijing Normal University(Natural Science),2017,53(3). |
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| Authors: | NING Juhong CHEN Jingjing DENG Guantie |
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| Abstract: | The growth of entire functions represented by generalized Laplace-Stieltjes transforms defined in a piecewise smooth jordan curve starting from origin in half right plane is studied.The maximum modulus M(r,F) and the maximum term m(r,F) of F(s) in the circle z=r are defined.The conception of (p,q)order is introduced.Equivalence relation between (p,q) order represented by maximum modulus M(r,F) and (p,q) order represented by An,λn (n=1,2,…) is then obtained. |
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| Keywords: | generalized Laplace-Stieltjes transform entire function maximum modulus maximum term (p q) order |
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