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Results tagged with special-functions
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user 527955
Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups.
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Prove that the regularized incomplete beta function monotone with each of its parameter
By looking through google results once more, I found the desired result in theorem 1 of this paper.
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Prove that the regularized incomplete beta function monotone with each of its parameter
Consider the regularized incomplete beta function $I_x(a, b)$ with $x \in [0,1]$ and $a, b > 0$. I am hypothesizing that the function is monotone decreasing with respect to $a$ and monotone increasing …