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math.DS2022★ 1 cited
Entire functions with Cantor bouquet Julia sets
Leticia Pardo-Simón, Lasse Rempe
A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint-type function of finite order is a…
math.CV2022★ 1 cited
An approximate solution to Erdös' maximum modulus points problem
Adi Glücksam, Leticia Pardo-Simón
In this note we investigate the asymptotic behavior of the number of maximum modulus points, of an entire function, sitting in a disc of radius . In 1964, Erd\Humlaut{o}s asked…