Chapter 8 Incomplete Gamma and Related Functions
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun (1964, Chapters 5 and 6), by W. Gautschi and F. Cahill, and P. J. Davis, respectively.
- Notes:
- The main references used in writing this chapter are Erdélyi et al. (1953b), Luke (1969b), and Temme (1996b). For additional bibliographic reading see Gautschi (1998), Olver (1997b), and Wong (1989).
- Referenced by:
- §6.2(i), Richard B. Paris, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/8
Division of Mathematical Sciences,
University of Abertay Dundee,
Dundee, United Kingdom.
- Notation
-
Incomplete Gamma Functions
- 8.2 Definitions and Basic Properties
- 8.3 Graphics
- 8.4 Special Values
- 8.5 Confluent Hypergeometric Representations
- 8.6 Integral Representations
- 8.7 Series Expansions
- 8.8 Recurrence Relations and Derivatives
- 8.9 Continued Fractions
- 8.10 Inequalities
- 8.11 Asymptotic Approximations and Expansions
- 8.12 Uniform Asymptotic Expansions for Large Parameter
- 8.13 Zeros
- 8.14 Integrals
- 8.15 Sums
- 8.16 Generalizations
- Related Functions
- Applications
- Computation
