Gallery

All plots are created with default settings.

z ** 1	z ** 2	z ** 3

1 / z	1 / z ** 2	1 / z ** 3

(z + 1) / (z - 1)	Another Möbius transformation	A third Möbius transformation

np.real	z / abs(z)	np.conj

z ** 6 + 1	z ** 6 - 1	z ** (-6) + 1

z ** z	(1/z) ** z	z ** (1/z)

np.sqrt	z**(1/3)	z**(1/4)

np.log	np.exp	np.exp2

np.exp(1 / z)	z * np.sin(1 / z)	np.cos(1 / z)

exp(- z ** 2)	1 / (1 + z ** 2)	Error function

np.sin	np.cos	np.tan

sec	csc	cot

np.sinh	np.cosh	np.tanh

secans hyperbolicus	cosecans hyperbolicus	cotangent hyperbolicus

np.arcsin	np.arccos	np.arctan

Sinc, sin(z) / z	cos(z) / z	tan(z) / z

Integral sine Si	Integral cosine Ci	Lambert W function

mpmath.zeta	Bernoulli function	Dirichlet eta function

Hurwitz zeta function with a = 1/3	Hurwitz zeta function with a = 24/25	Hurwitz zeta function with a = 3 + 4i

scipy.special.gamma	reciprocal Gamma	scipy.special.digamma

Riemann-Siegel theta function	Z-function	Riemann-Xi

Jacobi elliptic function sn(0.6)	cn(0.6)	dn(0.6)

Jacobi theta 1 with q=0.1 * exp(0.1j * np.pi))	Jacobi theta 2 with the same q	Jacobi theta 3 with the same q

Bessel function, first kind, order 1	Bessel function, first kind, order 2	Bessel function, first kind, order 3

Bessel function, second kind, order 1	Bessel function, second kind, order 2	Bessel function, second kind, order 3

Hankel function of first kind (n=1.0)	Hankel function of first kind (n=3.1)	Hankel function of second kind (n=1.0)

Fresnel S	Fresnel C	Faddeeva function

Airy function Ai	Bi	Exponentially scaled eAi

tanh(pi / 2 * sinh(z))	sinh(pi / 2 * sinh(z))	exp(pi / 2 * sinh(z))

Klein's j-invariant	Dedekind eta function

Lambert series with 1s	Lambert series with von-Mangoldt-coefficients	Lambert series with Liouville-coefficients