Chapter 5 Gamma Function
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun (1964, Chapter 6) by P. J. Davis.
- Notes:
- The main references used in writing this chapter are Andrews et al. (1999), Carlson (1977b), Erdélyi et al. (1953a), Nielsen (1906a), Olver (1997b), Paris and Kaminski (2001), Temme (1996b), and Whittaker and Watson (1927).
- Referenced by:
- Richard A. Askey, Ranjan Roy, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/5
Department of Mathematics,
University of Wisconsin,
Madison, Wisconsin.
Department of Mathematics and Computer Science,
Beloit College,
Beloit, Wisconsin.
- Notation
-
Properties
- 5.2 Definitions
- 5.3 Graphics
- 5.4 Special Values and Extrema
- 5.5 Functional Relations
- 5.6 Inequalities
- 5.7 Series Expansions
- 5.8 Infinite Products
- 5.9 Integral Representations
- 5.10 Continued Fractions
- 5.11 Asymptotic Expansions
- 5.12 Beta Function
- 5.13 Integrals
- 5.14 Multidimensional Integrals
- 5.15 Polygamma Functions
- 5.16 Sums
- 5.17 Barnes’
-Function (Double Gamma Function) - 5.18
-Gamma and -Beta Functions