  We consider the uniform asymptotic expansion for the Gauss hypergeometric
function \[{}_2F_1(a+\epsilon\lambda,b;c+\lambda;x),\qquad 0<x<1\] as
$\lambda\to+\infty$ in the neigbourhood of $\epsilon x=1$ when the parameter
$\epsilon>1$ and the constants $a$, $b$ and $c$ are supposed finite. Use of a
standard integral representation shows that the problem reduces to
consideration of a simple saddle point near an endpoint of the integration
path. A uniform asymptotic expansion is first obtained by employing Bleistein's
method. An alternative form of uniform expansion is derived following the
approach described in Olver's book [{\it Asymptotics and Special Functions},
p.~346]. This second form has several advantages over the Bleistein form.
