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Complex Function plot
With this tool you can visualize complex-valued functions
Input box:
z
arctan(z)
re(arctan(z)) real part
im(arctan(z)) imag part
arctan(z-random())
z^4-1
(z^2-i)/(i*z-1)^2
sin(z)-e^(cos(z))
log(z)-sech(z-i)
(z-1)(conj(z)^2-conj(z)-1)
0.926(z-7.3857e-2*z^5-4.5458e-3*z^9)
special function: gamma(z) , zeta(z)
Jacobi Elliptic: sn(z,0.3) , cn(z,0.3) , dn(z,0.3)
Taylor Series: cos(z)=sum((-1)^n*z^(2n)/(2n)!,7) parameter must be n
Atomic Singular Inner Function: prod(e^((z*(e^(2*pi*i/5))^n)/(z-(e^(2*pi*i/5))^n)),5) parameter must be n
Iterated function: iter(z-z'^2,z,15)
Parameters: You can also use three parameters t,n,u in your function, e. g.
t, where 0 ≤ t ≤ 1,
u, where u = exp(i*s) and 0 ≤ s ≤ 2pi
n, with 0 ≤ n ≤ 30
Zoom In/Out:
Its independent variable must be z.
put mouse on the graph to show
function :
random() , re(z) , im(z) , modulus(z) , arg(z) , recip(z) , neg(z) , conj(z) , disk(z) , floor(z) , ceil(z) , square(z) , cube(z) , sqrt(z) , exp(z) , log(z) ,
trig function :sin(z) , cos(z) , tan(z) , cot(z) , sec(z) , csc(z) , sinh(z) , cosh(z) , tanh(z) , coth(z) , sech(z) , csch(z) ,
inverse trig function :asin(z) , acos(z) , atan(z) , acot(z) , asec(z) , acsc(z) , asinh(z) , acosh(z) , atanh(z) , acoth(z) , asech(z) , acsch(z) ,
arcsin(z) , arccos(z) , arctan(z) , arccot(z) , arcsec(z) , arccsc(z) , arcsinh(z) , arccosh(z) , arctanh(z) , arccoth(z) , arcsech(z) , arccsch(z) ,
special function :gamma(z) , pow(z, 2) , rationalBlaschke(z, 2) , mobius(z, 2, 3, 4, 5) , psymbol(z, 2) , binet(z) , joukowsky(z, 2, 3) , zeta(z) , dirichletEta(z) , binomial(z, 2) ,
sn(z, 0.2) , cn(z, 0.2) , dn(z, 0.2) , sum(z, 2) , prod(z, 2) , blaschke(z, 2) , iter(z, z, 3) ,
Complex
complex
- complex function
- complex math
complex animate (z) or complex2D(x) for phase animation in complex plane, the independent variable must be z.
complex plot (z) for phase and/or modulus in complex plane, the independent variable must be z.
plot complex (z) for phase and/or modulus in complex plane, the independent variable must be z.
complex2D show re2D(x) and im2D(x) for complex 2 curves of real and imag parts in real and imag domain, the independent variable must be x.
complex3D (x) for 3 dimensional graph, the independent variable must be x.
color WebXR surface of complex function on complex plane
Riemann surface
- Complex Branches
- complex coloring
References
math handbook content 2 chapter 10 complex function
math handbook content 3 chapter 10 complex function
math handbook content 4 chapter 10 complex function
Complex analysis
See Also
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