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

页码：125 / 141

页数：16

共 50 条

[31] A COMPLETENESS THEOREM FOR TRIGONOMETRIC IDENTITIES AND VARIOUS RESULTS ON EXPONENTIAL FUNCTIONS
VANDENDRIES, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (02) : 345 - 352
[32] New definitions of exponential, hyperbolic and trigonometric functions on time scales
Cieslinski, Jan L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 8 - 22
[33] On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Shi, Baijuan
JOURNAL OF MATHEMATICS, 2021, 2021
[34] PARAMETRIC GRAPHS OF TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS AS A TOOL FOR TEACHING
Nahlik, Tomas
Dusek, Zdenek
11TH INTERNATIONAL CONFERENCE OF EDUCATION, RESEARCH AND INNOVATION (ICERI2018), 2018, : 9410 - 9413
[35] ANALYTICAL CALCULATION OF A CLASS OF INTEGRALS CONTAINING EXPONENTIAL AND TRIGONOMETRIC FUNCTIONS
MASSIDDA, V
MATHEMATICS OF COMPUTATION, 1983, 41 (164) : 555 - 557
[36] EXPANSION OF EXPONENTIAL INTEGRAL IN TERMS OF BESSEL FUNCTIONS
MELIGY, AS
ELGAZZY, EM
JOURNAL OF MATHEMATICS AND PHYSICS, 1963, 42 (02): : 157 - &
[37] Gamma operators reproducing exponential functions
Acar, Tuncer
Mursaleen, Mohammad
Deveci, Serife Nur
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[38] Gamma operators reproducing exponential functions
Tuncer Acar
Mohammad Mursaleen
Serife Nur Deveci
Advances in Difference Equations, 2020
[39] A two-point-Pade-approximant-based method for bounding some trigonometric functions
Chen, Xiao-Diao
Ma, Junyi
Jin, Jiapei
Wang, Yigang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[40] FUNCTIONS SUBORDINATE TO THE EXPONENTIAL FUNCTION
Krishnan, Priya G.
Ravichandran, Vaithiyanathan
Saikrishnan, Ponnaiah
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (01): : 163 - 178

← 1 2 3 4 5 →