ABSTRACT
One of the the most important special functions in mathematics is undoubtedly the gamma function of Euler. It is the function Γ on (0,∞) defined by
Γ(x) =
e−ttx−1dt, x > 0.
Example 2.1 Compute Γ(1).
Solution By definition,
Γ(1) =
e−tdt = −e−t|∞0 = 1.
