Chapter 22 Jacobian Elliptic Functions
University of Washington, Seattle, Washington.
American University of Sharjah, Sharjah, United Arab Emirates.
- Notation
-
Properties
- 22.2 Definitions
- 22.3 Graphics
- 22.4 Periods, Poles, and Zeros
- 22.5 Special Values
- 22.6 Elementary Identities
- 22.7 Landen Transformations
- 22.8 Addition Theorems
- 22.9 Cyclic Identities
- 22.10 Maclaurin Series
- 22.11 Fourier and Hyperbolic Series
- 22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
- 22.13 Derivatives and Differential Equations
- 22.14 Integrals
- 22.15 Inverse Functions
- 22.16 Related Functions
- 22.17 Moduli Outside the Interval [0,1]
- Applications
- Computation