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2 simple statements
#1
2 simple statements :

statement 1:

every entire function f(z) that has a locally analytic f^[x](z) solutions for all positive real x in domain D containing a single fixpoint , satisfies that by using riemann mapping the original f^[x](z) computed from one of its fixpoint can be remapped V-analyticly ( coo on V ) to map non-intersecting open curve V in D onto itself for all x in in a positive real interval of measure 1.

statement 2:

every entire function f(z) having A fixpoints satisfies if distinct p and q are primes > A^2 + 2 and f^[1/4](z) , f^[1/p^2](z) , f^[1/q^2](z) are locally analytic , then so is f^[1/pq](z).

regards

tommy1729
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