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keisanHigh-precision calculations for everyday life and work

Incomplete Beta Function (Graph)

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Calculate and graph the tables for the incomplete beta function Bx(a,b) and the regularized incomplete beta function Ix(a,b).
a
a>0
b
b>0
[ Initial value of x
0≦x≦1
]
\(\normalsize Incomplete\ beta\ function\ B_x(a,b)\\ \hspace{70px}and\ regularized\ I_x(a,b)\\ (1)\ B_x(a,b)={\large\int_{\tiny 0}^ {\small x}}t^{a-1}(1-t)^{b-1}dt\\ \hspace{90px} Re(a),Re(b)\gt 0,\hspace{10px} 0\le x\le1\\ (2)\ I_x(a,b)={\large\frac{B_x(a,b)}{B(a,b)}}\\ (2)\ I_x(a,b)+I_{1-x}(b,a)=1\\\)

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