| Laplace-Stieltjes变换所确定的整函数的(p,q)(R)级 |
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| 引用本文： | 陆万春.Laplace-Stieltjes变换所确定的整函数的(p,q)(R)级[J].萍乡高等专科学校学报,2011,28(3):1-4. |
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| 作者姓名： | 陆万春 |
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| 作者单位： | 萍乡高等专科学校数学系,江西萍乡,337000 |
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| 摘 要： | 研究了由Laplace-Stieltjes变换所定义的整函数的(p,q)(R)级,通过适当引入序列0<λn↑+∞,建立了该变换的(p,q)(R)级与其系数及指数之间的关系,即该变换的(p,q)(R)级的充分必要条件,推广了Dirichelt级数的相关结果。
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| 关 键 词： | Laplace-Stieltjes变换 (p q)(R)级 |
The (p,q)(R) Order of an Entire Function Defined by a Laplace-Stieltjes Transformation |
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| Lu Wanchun.The (p,q)(R) Order of an Entire Function Defined by a Laplace-Stieltjes Transformation[J].Journal of Pingxiang College,2011,28(3):1-4. |
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| Authors: | Lu Wanchun |
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| Institution: | Lu Wanchun(Mathematics Department,Pingxiang College,Pingxiang 337000,China) |
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| Abstract: | This paper studied that （p,q）（R） order of an entire function defined by a Laplace-Stieltjestransformation. By properly introducing the order of 0λn↑＋∞, we established the relations between （p,q）（R） order of the transformation and ＂coefficient＂ and ＂exponent＂. It is sufficient and necessaryconditions of （p,q）（R） order, generalizing the corresponding results of Dirichlet series. |
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| Keywords: | Laplace-Stieltjes transformation (p q)(R) order |
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