Recent content by rafgger

  1. rafgger

    Graduate Expectation of a Fraction of Gaussian Hypergeometric Functions

    The random variable is x. Even, if there would be an idea, how to simplify the fraction. Would be most appreciated.
  2. rafgger

    Graduate Expectation of a Fraction of Gaussian Hypergeometric Functions

    I am looking for the expectation of a fraction of Gauss hypergeometric functions. $$E_X\left[\frac{{}_2F_1\left(\begin{matrix}x+a+1\\x+a+1\end{matrix},a+1,c\right)}{{}_2F_1\left(\begin{matrix}x+a\\x+a\end{matrix},a,c\right)}\right]=?$$ Are there any identities that could be used to simplify or...