Lower Order and Upper Order of L-Stieltjes Integration Convergent Only in the Complex Plane and Left Half-Plane

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- Lower Order and Upper Order of L-Stieltjes Integration Convergent Only in the Complex Plane and Left Half-Plane
- Vol. 17, Issue 1, Pages: 82-87(2000)
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- Online First：10 March 2000，
  
  Published：2000
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尤秀英. 复平面或左半平面内收敛的L-Stieltjes积分的下级与上级[J]. 广东工业大学学报, 2000, 17(1): 82-87.

YOU Xiu ying. Lower Order and Upper Order of L-Stieltjes Integration Convergent Only in the Complex Plane and Left Half-Plane[J]. 2000, 17(1): 82-87.
尤秀英. 复平面或左半平面内收敛的L-Stieltjes积分的下级与上级[J]. 广东工业大学学报, 2000, 17(1): 82-87. DOI：

YOU Xiu ying. Lower Order and Upper Order of L-Stieltjes Integration Convergent Only in the Complex Plane and Left Half-Plane[J]. 2000, 17(1): 82-87. DOI：

在上侧Laplace-Stieltjes积分的下级与上级理论基础上

对下侧L -S积分定义的整函数f2 (s)定义了下级与上级

通过引入递减负实数列 {λ-n}

建立了f2 (s)的下级 (或上级 )与其系数及指数之间的关系

并拓广到双侧L -S积分所定义的整函数F(s) ;建立了在收敛半平面Re(s) =σ <0内的解析函数f2 (s)的下级与上级概念

并讨论了f2 (s)的下级 (或上级 )与其系数及指数之间的关系

推广了上侧L -S积分f1(s)的两个结论

尤秀英. LAPLACE-STIELTJES变换所定义的解析函数的下级[J]. 武汉大学学报(自然科学版). 1997(05)

余家荣. Laplace-Stieltjes变換所定义的整函数之Borel线[J]. 数学学报. 1963(03)

Yu Jiarong. The lower orders of Dirichlet and random Dirichlet series[J], 1996

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