Definition:Elliptic Integral of the First Kind/Incomplete/Amplitude
< Definition:Elliptic Integral of the First Kind | Incomplete(Redirected from Definition:Amplitude of Incomplete Elliptic Integral of the First Kind)
Jump to navigation
Jump to search
Definition
Let $u = F \left({k, \phi}\right)$ denote the incomplete elliptic integral of the first kind.
The parameter $\phi = \operatorname{am} u$ of $u = F \left({k, \phi}\right)$ is called the amplitude of $u$.
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $34.1$: Incomplete Elliptic Integral of the First Kind
