Chapter 4 Elementary Functions
R. Roy
Affiliation: Department of Mathematics and Computer Science,
Beloit College,
Beloit, Wisconsin.
F. W. J. Olver
Affiliation: Institute for Physical Science and Technology and
Department of Mathematics,
University of Maryland,
College Park, Maryland.
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- Acknowledgements:
- The authors are grateful to Steven G. Krantz and Peter R. Turner for advice on early drafts of this chapter.
- Notes:
- The main references used in writing this chapter are Levinson and Redheffer (1970), Hobson (1928), Wall (1948), and Whittaker and Watson (1927). For additional bibliographic reading see Copson (1935) and Silverman (1967).
- Referenced by:
- Profile Frank W. J. Olver, Profile Ranjan Roy, Profile Ranjan Roy, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Associate Editors, § ‣ Software Cross Index
- Permalink:
- http://dlmf.nist.gov/4
- Notation
- Logarithm, Exponential, Powers
-
Trigonometric Functions
- 4.14 Definitions and Periodicity
- 4.15 Graphics
- 4.16 Elementary Properties
- 4.17 Special Values and Limits
- 4.18 Inequalities
- 4.19 Maclaurin Series and Laurent Series
- 4.20 Derivatives and Differential Equations
- 4.21 Identities
- 4.22 Infinite Products and Partial Fractions
- 4.23 Inverse Trigonometric Functions
- 4.24 Inverse Trigonometric Functions: Further Properties
- 4.25 Continued Fractions
- 4.26 Integrals
- 4.27 Sums
-
Hyperbolic Functions
- 4.28 Definitions and Periodicity
- 4.29 Graphics
- 4.30 Elementary Properties
- 4.31 Special Values and Limits
- 4.32 Inequalities
- 4.33 Maclaurin Series and Laurent Series
- 4.34 Derivatives and Differential Equations
- 4.35 Identities
- 4.36 Infinite Products and Partial Fractions
- 4.37 Inverse Hyperbolic Functions
- 4.38 Inverse Hyperbolic Functions: Further Properties
- 4.39 Continued Fractions
- 4.40 Integrals
- 4.41 Sums
- Applications
- Computation