Hypergeometric Function

This calculator finds the numerical value of the hypergeometric function \[ {}_pF_q(a_1,\ldots,a_p;b_1,\ldots,b_q;x)=\sum_{n=0}^\infty \frac{(a_1)_n\cdots(a_p)_n}{(b_1)_n\cdots(b_q)_n}\frac{x^n}{n!} \] where the Pochhammer symbol $(a)_n$ is defined as \[ (a)_n = \left\{ \begin{array}{ll} 1, & n=0 \\ a(a+1)(a+2)\cdots(a+n-1), & n > 0 \end{array} \right. \] and all arguments of ${}_pF_q$ are real numbers.

Hypergeometric Function Calculator