Chapter 7 Error Functions, Dawson’s and Fresnel Integrals
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun (1964, Chapter 7) by Walter Gautschi. Walter Gautschi provided the author with a list of references and comments collected since the original publication.
- Notes:
- For general bibliographic reading see Carslaw and Jaeger (1959), Lebedev (1965), Olver (1997b), and Temme (1996b).
- Referenced by:
- Nico M. Temme, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/7
Centrum voor Wiskunde en Informatica, Department MAS, Amsterdam, The Netherlands.
- Notation
-
Properties
- 7.2 Definitions
- 7.3 Graphics
- 7.4 Symmetry
- 7.5 Interrelations
- 7.6 Series Expansions
- 7.7 Integral Representations
- 7.8 Inequalities
- 7.9 Continued Fractions
- 7.10 Derivatives
- 7.11 Relations to Other Functions
- 7.12 Asymptotic Expansions
- 7.13 Zeros
- 7.14 Integrals
- 7.15 Sums
- 7.16 Generalized Error Functions
- 7.17 Inverse Error Functions
- 7.18 Repeated Integrals of the Complementary Error Function
- 7.19 Voigt Functions