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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