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.
◮ Generalization. Some properties.
General case:
Cba = Γ(a+ 1)
Γ(b+ 1)Γ(a− b+ 1) , where Γ(x) is the gamma function.
