WOLFRAM|DEMONSTRATIONS PROJECT

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.