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Bounding the gamma function in terms of the trigonometric and exponential functions

被引：4
|
作者：
Qi F. [1 ,2 ,3 ]
Mahmoud M. [4 ]
机构：
[1] Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province
[2] College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region
[3] Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City
[4] Department of Mathematics, Faculty of Science, Mansoura University, Mansoura
来源：
Acta Scientiarum Mathematicarum | 2017年 / 83卷 / 1-2期
关键词：
Bound; Digamma function; Exponential function; Fractional function; Gamma function; Harmonic number; Inequality; Monotonicity; Trigonometric function;
D O I：
10.14232/actasm-016-813-x
中图分类号：
学科分类号：
摘要：
In the paper, the authors bound the gamma function, the digamma function, and the harmonic numbers in terms of the exponent of fractional functions and several trigonometric functions such as the tangent, hyperbolic tangent, secant, and cosecant functions. © Bolyai Institute, University of Szeged.
引用
收藏
页码：125 / 141
页数：16
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