Definition:Gaussian Hypergeometric Function/Also denoted as

Gaussian Hypergeometric Function: Also denoted as

Using the notation of the generalized hypergeometric function, the Gaussian hypergeometric function can be denoted as:

$\ds \map { {}_2 F_1} {a, b; c; z}$

or if necessary to draw particular attention to where it came from:

$\ds \map { {}_2 F_1} { { {a, b} \atop c} \, \middle \vert \, z}$