Monotonicity results for the polygamma functions

被引：0
|
作者：
Li, Al-Jun [1 ]
Yuan, Jun [2 ]
Chen, Chao-Ping [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu Prov, Peoples R China
[3] Henan Polytech Univ, Sch Math & Informat, Res Inst Appl Math, Jiaozuo City 454010, Henan, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 02期
关键词：
D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the monotonic results of the functions x(c)vertical bar psi((n))(x+beta)vertical bar and x psi((n+1))(x+beta)/psi((n))(x+beta) are established. Several by-products are obtained. Moreover, we prove that the function d psi(Inx)/dx is completely monotonic.
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页码：307 / 316
页数：10
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