Dear Gottfried

It may be my fault since Im not so familiar with the terms you use but I fail to completely understand your question or even method.

For instance I do not know what you mean by "linearization" here.

For me it is a term used for differential equations or the truncated Taylor series a_0 + a_1 x for an analytic function.

Are you using Koenigs function to solve the Schroeder equation ? Or is this one of those matrix methods ?

How is the connection to uniqueness , existance , multiple solutions and fixpoints ?

Also I do not know what all this imaginary stuff is. Imaginary component ? Imaginary height ? Imaginary oversteps the infinite iteration height ? What is meant with " dual of x = -oo " ?

It may be my fault , but I think you need to be more explicit if you want to speak to a large audience and be understood.

And even if it has been explained before you should have added at least a link imho.

Maybe it helps even yourself if you write it out completely.

Im - perhaps surprising - convinced that this question has an answer. Most things have an answer in math.

Regards

tommy1729

It may be my fault since Im not so familiar with the terms you use but I fail to completely understand your question or even method.

For instance I do not know what you mean by "linearization" here.

For me it is a term used for differential equations or the truncated Taylor series a_0 + a_1 x for an analytic function.

Are you using Koenigs function to solve the Schroeder equation ? Or is this one of those matrix methods ?

How is the connection to uniqueness , existance , multiple solutions and fixpoints ?

Also I do not know what all this imaginary stuff is. Imaginary component ? Imaginary height ? Imaginary oversteps the infinite iteration height ? What is meant with " dual of x = -oo " ?

It may be my fault , but I think you need to be more explicit if you want to speak to a large audience and be understood.

And even if it has been explained before you should have added at least a link imho.

Maybe it helps even yourself if you write it out completely.

Im - perhaps surprising - convinced that this question has an answer. Most things have an answer in math.

Regards

tommy1729