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4 papers
On a result of Hayman concerning the maximum modulus set
Vasiliki Evdoridou, Leticia Pardo-Simón, David J. Sixsmith
The set of points where an entire function achieves its maximum modulus is known as the maximum modulus set. In 1951, Hayman studied the structure of this set near the origin. Foll…
Combinatorics of criniferous entire maps with escaping critical values
Leticia Pardo-Simón
A transcendental entire function is called criniferous if every point in its escaping set can eventually be connected to infinity by a curve of escaping points. Many transcendental…
The maximum modulus set of a polynomial
L. Pardo-Simón, D. J. Sixsmith
We study the maximum modulus set, , of a polynomial . We are interested in constructing so that has certain exceptional features. Jassim and…
Variations on a theme of Hardy concerning the maximum modulus
L. Pardo-Simón, D. J. Sixsmith
In 1909, Hardy gave an example of a transcendental entire function, , with the property that the set of points where achieves its maximum modulus, , has infi…