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New posts in beta-function
if $X$ ~ $Beta(a,b)$ then what is $P(X < \frac{1}{4})$?
probability
probability-distributions
beta-function
Show that $\sum_{n=0}^{\infty}\frac{2^n(5n^5+5n^4+5n^3+5n^2-9n+9)}{(2n+1)(2n+2)(2n+3){2n\choose n}}=\frac{9\pi^2}{8}$
sequences-and-series
pi
polylogarithm
beta-function
Prove $\frac{\partial}{\partial m}\text{B}(n,m)=-\text{B}(n,m)\sum_{k=0}^{n-1}\frac{1}{k+m}$
calculus
partial-derivative
gamma-function
harmonic-numbers
beta-function
Solving used Real Based Methods: $\int_0^x \frac{t^k}{\left(t^n + a\right)^m}\:dt$
real-analysis
integration
definite-integrals
beta-function
Existence and calculation of a fractional integral
lebesgue-integral
gamma-function
convolution
beta-function
fractional-calculus
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