Constructing transcendental entire functions

Speaker(s)

Vasiliki Evdoridou

Affiliation

IM PAN

Date

Nov. 3, 2017, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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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.

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