InfiniteLambertProduct(Coef, UTS)

taylor.spad line 436 [edit on github]

• Coef : Ring
• UTS : UnivariateTaylorSeriesCategory(Coef)

This package computes infinite products of univariate Taylor series

evenInfiniteProduct : UTS -> UTS

evenInfiniteProduct(f(x)) computes product(n=2, 4, 6..., f(x^n)). The series f(x) should have constant coefficient 1.

generalInfiniteProduct : (UTS, Integer, Integer) -> UTS

generalInfiniteProduct(f(x), a, d) computes product(n=a, a+d, a+2*d, ..., f(x^n)). The series f(x) should have constant coefficient 1.

infiniteProduct : UTS -> UTS

infiniteProduct(f(x)) computes product(n=1, 2, 3..., f(x^n)). The series f(x) should have constant coefficient 1.

oddInfiniteProduct : UTS -> UTS

oddInfiniteProduct(f(x)) computes product(n=1, 3, 5..., f(x^n)). The series f(x) should have constant coefficient 1.