![]() |
x is any real number. |
![]() |
gamma(x) has singularities for all nonpositive integers x. |
The gamma function of x is the generalization of the common factorial function n!. The relation between these two functions is
for all natural numbers n. The gamma function is defined by
for real and complex x, and has the property
The calculation of
is based on the Lanszos formula
with fixed and well calculated
The following diagram shows the graph of the gamma function in the interval (4, 4).