Category:Euler's Integral Representation of Hypergeometric Function

This category contains pages concerning Euler's Integral Representation of Hypergeometric Function:

$\ds \map F {a, b; c; x} = \dfrac {\map \Gamma c } {\map \Gamma b \map \Gamma {c - b} } \int_0^1 t^{b - 1} \paren {1 - t}^{c - b - 1} \paren {1 - x t}^{- a} \rd t$

Source of Name

This entry was named for Leonhard Paul Euler.