Chapter 33Coulomb Functions
I. J. ThompsonLawrence Livermore National Laboratory,Livermore, California.
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- Acknowledgements:
- This chapter is based in part onAbramowitz and Stegun (1964, Chapter 14) by M. Abramowitz.
- Notes:
- The main references used in writing this chapter areHull and Breit (1959),Thompson and Barnett (1986), andSeaton (2002a). For additionalbibliographic reading see also the General References in Chapter13.
- Referenced by:
- §13.28(ii),§18.39(ii),§18.39(ii),§18.39(iv),§18.39(ii),§18.39(ii),§18.39(ii),§18.39(iv),ProfileIan J. Thompson,§ ‣Chapter Authors,§ ‣Associate Editors,§ ‣Software Cross Index
- Permalink:
- http://dlmf.nist.gov/33
- Notation
- Variables
- 33.2Definitions and Basic Properties
- 33.3Graphics
- 33.4Recurrence Relations and Derivatives
- 33.5Limiting Forms for Small, Small, or Large
- 33.6Power-Series Expansions in
- 33.7Integral Representations
- 33.8Continued Fractions
- 33.9Expansions in Series of Bessel Functions
- 33.10Limiting Forms for Large or Large
- 33.11Asymptotic Expansions for Large
- 33.12Asymptotic Expansions for Large
- 33.13Complex Variable and Parameters
- Variables
- Physical Applications
- Computation
