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Constructing transcendental entire functions

Prelegent(ci)
Vasiliki Evdoridou
Afiliacja
IM PAN
Termin
3 listopada 2017 10:15
Pokój
p. 5840
Seminarium
Seminarium Zakładu Układów Dynamicznych

In this talk we use a lemma of Clunie and Kovari to construct some examples of transcendental entire functions with specific properties of their maximum modulus.  It is a very useful tool that allows us to obtain transcendental entire functions with certain properties by first constructing real, increasing, convex functions. In particular, we give an example of a transcendental entire function whose lower order is different from its order.