Chapter 4 Elementary Functions
- Acknowledgments:
- 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:
- Frank W. J. Olver, Ranjan Roy, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/4
Department of Mathematics and Computer Science,
Beloit College,
Beloit, Wisconsin.
Institute for Physical Science and Technology and
Department of Mathematics,
University of Maryland,
College Park, Maryland.
- 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
-Function-
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