As far as I understand selfroot and any root:

Selfroot is x^(1/x):

Selfroot =

For positive x, is real, giving one real self root (k=0) , and infinite number of imaginary roots depending on ratio .

For negative x, will be imaginary, of the form:

so roots are:

, again infinite quantity in totality. m=0 gives:

,

For imaginary and complex x, tomorrow, with mistakes here also hopefully corrected.

Ivars

Selfroot is x^(1/x):

Selfroot =

For positive x, is real, giving one real self root (k=0) , and infinite number of imaginary roots depending on ratio .

For negative x, will be imaginary, of the form:

so roots are:

, again infinite quantity in totality. m=0 gives:

,

For imaginary and complex x, tomorrow, with mistakes here also hopefully corrected.

Ivars