Chapter GA. Gamma Function
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun(1964)(Chapter 6) by P. J. Davis.
- Sources:
-
- The main references used in writing this chapter are
Andrews et.al.(1999),
Carlson(1977),
Erdélyi et.al.(1953),
Nielsen(1906),
Olver(1997),
Paris and Kaminski(2001),
Temme(1996), and
Whittaker and Watson(1927) .
- Referenced by:
Department of Mathematics,
University of Wisconsin,
Madison, WI 53706.
Department of Mathematics and Computer Science,
Beloit College,
Beloit, WI 53511.
- Notation
-
Properties
- §GA.2 Definitions
- §GA.3 Graphics
- §GA.4 Special Values and Extrema
- §GA.5 Functional Relations
- §GA.6 Inequalities
- §GA.7 Series Expansions
- §GA.8 Infinite Products
- §GA.9 Integral Representations
- §GA.10 Continued Fractions
- §GA.11 Asymptotic Expansions
- §GA.12 Beta Function
- §GA.13 Integrals
- §GA.14 Multidimensional Integrals
- §GA.15 Polygamma Functions
- §GA.16 Sums
-
§GA.17 Barnes
-Function (Double Gamma Function)
-
§GA.18
-Gamma and Beta Functions