Gallery
All plots are created with default settings.
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z ** 1 |
z ** 2 |
z ** 3 |
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1 / z |
1 / z ** 2 |
1 / z ** 3 |
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(z + 1) / (z - 1) |
Another Möbius transformation | A third Möbius transformation |
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np.real |
z / abs(z) |
np.conj |
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z ** 6 + 1 |
z ** 6 - 1 |
z ** (-6) + 1 |
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z ** z |
(1/z) ** z |
z ** (1/z) |
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np.sqrt |
z**(1/3) |
z**(1/4) |
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np.log |
np.exp |
np.exp2 |
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np.exp(1 / z) |
z * np.sin(1 / z) |
np.cos(1 / z) |
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exp(- z ** 2) |
1 / (1 + z ** 2) |
Error function |
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np.sin |
np.cos |
np.tan |
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sec |
csc |
cot |
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np.sinh |
np.cosh |
np.tanh |
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| secans hyperbolicus | cosecans hyperbolicus | cotangent hyperbolicus |
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np.arcsin |
np.arccos |
np.arctan |
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Sinc, sin(z) / z |
cos(z) / z |
tan(z) / z |
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| Integral sine Si | Integral cosine Ci | Lambert W function |
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mpmath.zeta |
Bernoulli function | Dirichlet eta function |
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Hurwitz zeta function with a = 1/3
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Hurwitz zeta function with a = 24/25
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Hurwitz zeta function with a = 3 + 4i
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scipy.special.gamma |
reciprocal Gamma | scipy.special.digamma |
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| Riemann-Siegel theta function | Z-function | Riemann-Xi |
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Jacobi elliptic function sn(0.6)
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cn(0.6) |
dn(0.6) |
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Jacobi theta 1 with q=0.1 * exp(0.1j * np.pi))
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Jacobi theta 2 with the same q
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Jacobi theta 3 with the same q
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| Bessel function, first kind, order 1 | Bessel function, first kind, order 2 | Bessel function, first kind, order 3 |
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| Bessel function, second kind, order 1 | Bessel function, second kind, order 2 | Bessel function, second kind, order 3 |
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| Hankel function of first kind (n=1.0) | Hankel function of first kind (n=3.1) | Hankel function of second kind (n=1.0) |
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| Fresnel S | Fresnel C | Faddeeva function |
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| Airy function Ai | Bi | Exponentially scaled eAi |
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tanh(pi / 2 * sinh(z)) |
sinh(pi / 2 * sinh(z)) |
exp(pi / 2 * sinh(z)) |
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| Klein's j-invariant | Dedekind eta function |
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| Lambert series with 1s | Lambert series with von-Mangoldt-coefficients | Lambert series with Liouville-coefficients |