SpecialFunctionUnivariateTaylorSeries(Coef, UTS)

special2.spad line 3093 [edit on github]

• Coef : Field
• UTS : UnivariateTaylorSeriesCategory(Coef)

This package implements series expansions for a few special functions.

lambertW0 : UTS -> UTS

lambertW0(x) applies lambertW to x. x must have no term of order 0.

weierstrassP0 : (Coef, Coef, UTS) -> UTS

weierstrassP0(g2, g3, x) computes finite part of weierstrassP(g2, g3, x). x must have no term of order 0.

weierstrassPPrime0 : (Coef, Coef, UTS) -> UTS

weierstrassPPrime0(g2, g3, x) computes finite part of weierstrassPPrime(g2, g3, x). x must have no term of order 0.

weierstrassSigma0 : (Coef, Coef, UTS) -> UTS

weierstrassSigma0(g2, g3, x) computes weierstrassSigma(g2, g3, x). x must have no term of order 0.

weierstrassZeta0 : (Coef, Coef, UTS) -> UTS

weierstrassZeta0(g2, g3, x) computes finite part of weierstrassZeta(g2, g3, x). x must have no term of order 0.