04/21/2015, 01:02 PM

Let a(x) = x^2 +1

Let b(x) be the functional inverse of a(x).

Let c(x) = x^2 +1 - exp(-2x).

D(x) = b^[n]( c^[1/2] (a^[n](x)) )

Where n Goes to infinity.

D(x) is the Tommy-Mandelbrot function.

Conjecture :

D(z) is analytic for Re(z) > 0 and z no element of the mandelbrot set from a(x).

Regards

Tommy1729

Let b(x) be the functional inverse of a(x).

Let c(x) = x^2 +1 - exp(-2x).

D(x) = b^[n]( c^[1/2] (a^[n](x)) )

Where n Goes to infinity.

D(x) is the Tommy-Mandelbrot function.

Conjecture :

D(z) is analytic for Re(z) > 0 and z no element of the mandelbrot set from a(x).

Regards

Tommy1729