# Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 34

## Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 34

Published $\text {1968}$.

Previous  ... Next

## $34 \quad$ Elliptic Functions

### Incomplete Elliptic Integral of the First Kind

where $\phi = \operatorname {am} u$ is called the amplitude of $u$ and $x = \sin \phi$, where here and below $0 < k < 1$.

### Catalan's Constant

$34.33$: Catalan's Constant

### Legendre's Relation

Previous  ... Next