Appendix 1: Gamma, Beta and Zeta Functions
GAMMA FUNCTION
The gamma function Γ (z) is defined by the integral

In particular

Now, from (A.1), we have

Integrating this integral by parts, we obtain

which is known as recursion formula.
Recursion formula can also be written as
Equation (A.1) together with the equation (A.2) gives the complete ...
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