# EllipticFunctionsUnivariateTaylorSeries(Coef, UTS)ΒΆ

- Coef: Field
- UTS: UnivariateTaylorSeriesCategory Coef

The elliptic functions `sn`

, `sc`

and `dn`

are expanded as Taylor series.

- ellipticE: (UTS, Coef) -> UTS
`ellipticE(z, m)`

expands the elliptic integral`E`

as a Taylor series in`z`

.

- ellipticF: (UTS, Coef) -> UTS
`ellipticF(z, m)`

expands the elliptic integral`F`

as a Taylor series in`z`

.

- ellipticPi: (UTS, Coef, Coef) -> UTS
`ellipticPi(z, n, m)`

expands the elliptic integral`Pi`

as a Taylor series in`z`

.

- jacobiCn: (UTS, Coef) -> UTS
`jacobiCn(z, m)`

expands the elliptic function`cn`

as a Taylor series in`z`

.

- jacobiDn: (UTS, Coef) -> UTS
`jacobiDn(z, m)`

expands the elliptic function`dn`

as a Taylor series in`z`

.

- jacobiSn: (UTS, Coef) -> UTS
`jacobiSn(z, m)`

expands the elliptic function`sn`

as a Taylor series in`z`

.