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q-Cosine and q-Sine Functions over the Extended Complex q-Plane

​
function
cos
q
(z)
sin
q
(z)
Cos
q
(z)
Sin
q
(z)
z
show
real part
imaginary part
zoom
color frequency
Contour plots of the real and imaginary parts of the
q
-cosine and
q
-sine functions over the Kelvin-inverted (
z
2
R
z
for
z>R
and
R=1-zoom
) complex
q
-plane.
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