Newton/Julia Fractals (2989)-(2995)

                Newton/Julia Fractals (2989)

             f(z) = LOG(z^2+(.185059+3.9249E-4*i))

 Mandelbrot Set:  f(z) = log(z^2+c)

Newton/Julia Fractals (2990)

      f(z) = LOG(z^2+(.21878+4.06858E-3*i))


Sonate K6393-2

 

Newton/Julia Fractals (2991)

      f(z) = 0.98*z^2*(z-c)/(1-conj(c)*z)

Mandelbrot Set

  A Eremenko
a rational function is a smooth curve then all periodic orbits on the Julia set have real ... (i) C is completely invariant, in which case f2 is a Blaschke product (that is ... If f is a Blaschke product preserving a circle C, then f : C → C.


                               Sonate K6395

 

                 
                             Sonate K6396
 

(z) = 0.99*z^2*(z-c)/(1-conj(c)*z)



(z) = 0.998*z^2*(z-c)/(1-conj(c)*z)



Newton/Julia Fractals (2992)

      f(z) = 0.98*z^4*(z-c)/(1-conj(c)*z)+0.1/z

Mandelbrot plot
 

 

                              Sonate K6397-2

Newton/Julia Fractals (2993)

      f(z) = (1/z^2)*(z-c)/(1-conj(c)*z)

    

Mandelbrot plot
 

Sonate K8398-2



Newton/Julia Fractals (2994)

      f(z) = 0.98*z^2*SQR(z)*(z-c)/(1-conj(c)*z)+0.1/z


Sonate K6399-2

 

Newton/Julia Fractals (2995)

      f(z) = z^2*SQR(z)*(z-c)/(1-conj(c)*z)