What the difference between plotting the function f(z) (where its coefficients change with time) and plot of its zeros which evolves with time t
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I use this function which has coefficints change with time t
first I plotted its roots (which evolve with time t) an I have got pathes in complex plane.
second I want to plot this function f(z),(which in complex variable zand its cofficients evolve with time t ) is the graph of this function pathes or serface? and if it is serface how can I plot it in complex plane?
for example if Iwant to plot this function'
f_(z) =(0.5000 + 0.0000i)+( 0.5001 + 0.8661i) z+(-0.2500 + 0.4330i)z^2
Chandra on 7 Apr 2022
The value of z is a complex value, so provide x and y values in z accordingly and provide the variable to function
>>x = 1:10; %real part of z.
>>y = 11:20; %imaginary part of z
>>z = x+i*y; %complex value
>>f_ =(0.5000 + 0.0000i)+( 0.5001 + 0.8661i)*z+(-0.2500 + 0.4330i)*z.^2
>> plot(real(f_),imag(f_)); %plotting the graph