ABSTRACT
C0a = 1, C k a =
(a k
) = (–1)k
(–a)k k!
= a(a – 1) . . . (a – k + 1)
k! , where k = 1, 2, . . .
Here a is an arbitrary real number.
18.1.1-2. Generalization. Some properties.
General case:
Cba = Γ(a + 1)
Γ(b + 1)Γ(a – b + 1) , where Γ(x) is the gamma function.
