Appendix: The Beta Function
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Abstract
Let \(z, w\in \mathbb {C}\), Re(z) > 0, Re(w) > 0. Define the beta function B(z, w) as follows:
$$\displaystyle B(z, w)=\int _0^1 t^{z-1} (1-t)^{w-1} dt. $$
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