chapter  7
Sums of Type II(1,1,z)
Pages 2

Remark 7.1. The binomial formula generalizes to n ∈ C in the form of an infinite series, the Taylor series, applying the general binomial coefficients, defined by (1.5)

( n

k

) xkyn−k = (x + y)n for |x| < |y|. (7.2)

The formula (7.1) is of type II(1, 1, z) with natural limits and quotient

qbinom((x, y), n, k) = n− k −1− k

( −x

y

) .