Maple plot range

Question

I've been searching for a while, but I can't seem to find the syntax for this (if it exists!) Is it possible to plot a range but exclude certain values? I wish to plot a single graph that ranges from $-\pi<x<\pi$, and excludes the origin. I have a bit of a blow up point and discont=true doesn't work.

Edit: For clarity, that's what I'm trying to plot, but at the origin I get the unwanted lines streaming out.

Answer 1

In Maple 17.02 on 64bit Linux I get a plot like the following with both the code fragments below. (Well, the curves look less jagged in Maple itself.)

restart:
with(plots):
r:=s->1/2*(C/sin(s)+((C/sin(s))^2+4*a^2)^(1/2)):
zeta:=s->r(s)*exp(I*(s+alpha)):

complexplot( [seq(eval(zeta(s),[C=i,a=2,b=1,alpha=0]),i=-20..20)],
             s=-Pi+0.0001 .. -0.0001+Pi, -10..10, -10..10,
             discont=[usefdiscont=true]);

restart:
with(plots):
r:=s->1/2*(C/sin(s)+((C/sin(s))^2+4*a^2)^(1/2)):
zeta:=s->r(s)*exp(I*(s+alpha)):

complexplot( [seq(eval(zeta(s),[C=i,a=2,b=1,alpha=0]),i=-20..20)],
             s=-Pi-2 .. 2+Pi, -10..10, -10..10,
             discont=[usefdiscont=[bins=11,order=2]]);