TPID 16

Let be a nonpolynomial real entire function.

has a conjugate primary fixpoint pair :

has no other primary fixpoints then the conjugate primary fixpoint pair.

For between and and such that we have that

is analytic in .

is analytic for all real and all real .

If is analytic for then :

for all real , all real and all integer .

Otherwise

for all real , all real and all integer .

Are there solutions for ?

I conjecture yes.

regards

tommy1729

Let be a nonpolynomial real entire function.

has a conjugate primary fixpoint pair :

has no other primary fixpoints then the conjugate primary fixpoint pair.

For between and and such that we have that

is analytic in .

is analytic for all real and all real .

If is analytic for then :

for all real , all real and all integer .

Otherwise

for all real , all real and all integer .

Are there solutions for ?

I conjecture yes.

regards

tommy1729