EllipticFunctionsUnivariateTaylorSeries(Coef, UTS)ΒΆ

elfuts.spad line 1

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.
sncndn: (Stream Coef, Coef) -> List Stream Coef
sncndn(s, c) is used internally.