Results and Formulas of Beta and Gamma Integrals

1)

is called the Beta Integral.

2)

is called the Gamma Integral.

3)

4)

5)

6)

7)

Where $n$ is a positive integer.

8)

If $n$ is not an integer on $0 < n < 1$

9)

10) When $n$ is large and positive, then the approximation value of

is called the Stirrling Formula.

11)

12)

13)