plot[AppellF1[1/2, 1, 1, 3, 2/(2 -[Gamma]), 4/( 4 -[Gamma])], {Gamma, 0, 15}]
in copying above gamma symbol is replaced by Gamma…
just to check is there any error in the syntax…
not getting the plot
Mathematica is fiercely case sensitive. plot is unknown. Plot is a Mathematica function.
AppellF1 does a doubly infinite summation and for some arguments can be very slow to compute.
Plot may evaluate the function hundreds or even thousands of times when trying to show a precise image.
Sometimes for slow functions doing
ListPlot[Table[{x,f[x]},{x,a,b,c}]]
for suitable numeric constants a,b,c can more quickly give you an approximate indication of the behavior of the function f[x].