A monotonicity property of the gamma function

@inproceedings{Anderson1997AMP,
  title={A monotonicity property of the gamma function},
  author={G. Anderson and S. Qiu},
  year={1997}
}
In this paper we obtain a monotoneity property for the gamma function that yields sharp asymptotic estimates for 17(x) as x tends to oc, thus proving a conjecture about 17(x). 
View via Publisher
ams.org
93 Citations
Highly Influential Citations
5
Background Citations
28
Methods Citations
3
Results Citations
3

93 Citations

Citation Type

Citation Type

THE GEOMETRIC CONVEXITY OF A FUNCTION INVOLVING GAMMA FUNCTION WITH APPLICATIONS
  • 7
  • PDF
Asymptotic formulas for gamma function with applications
  • Z. Yang, Y. Chu
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2015
  • 21
Inequalities for Гp function and Gamma function
On some properties of the gamma function
  • 63
  • Highly Influenced
  • PDF
Sharp bounds for gamma function in terms of xx-1
  • C. Mortici
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2014
  • 1
AN ELEMENTARY DOUBLE INEQUALITY FOR GAMMA FUNCTION
  • 5
  • PDF
A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
  • 28
  • PDF
A Power Mean Inequality for the Gamma Function
  • 29
GEOMETRIC CONVEXITY OF A FUNCTION INVOLVING GAMMA FUNCTION AND APPLICATIONS TO INEQUALITY THEORY
  • 14
  • PDF
Monotonic functions related to the q-gamma function
  • 6
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 16 REFERENCES
INEQUALITIES FOR ZERO-BALANCED HYPERGEOMETRIC FUNCTIONS
  • 127
  • PDF
On some inequalities for the gamma and psi functions
  • H. Alzer
  • Computer Science, Mathematics
  • Math. Comput.
  • 1997
  • 346
  • PDF
Some gamma function inequalities
  • 53
  • PDF
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
  • 18,083
  • PDF
An introduction to the theory of analytic functions of one complex variable
  • 213
A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
  • 585
  • PDF
Complex analysis : an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors
  • 316
PARTIAL DIFFERENTIAL EQUATIONS
  • 12,374
  • PDF
Partial Differential Equations
  • 17,478
  • PDF
Sur la fonction gamma
  • 15
  • PDF
...
1
2
...