analysis / Entire Functions
For a transcendental entire function, how fast can $|f(z)|$ be forced to grow along a path to infinity, and how short can such a path be in terms of the maximum modulus $M(r, f)$?
Temporal state
No reconciled state yet.
Append-only history
an escape path dominating every power of |z| with bounded initial length is constructed, and universal positive-power lower bounds are ruled out; the broader variant remains open
Research memory
For a transcendental entire function, how fast can $|f(z)|$ be forced to grow along a path to infinity, and how short can such a path be in terms of the maximum modulus $M(r, f)$?
an escape path dominating every power of |z| with bounded initial length is constructed, and universal positive-power lower bounds are ruled out; the broader variant remains open
Evidence graph
No public relationships recorded yet.