Monotonicity theorems for analytic functions centered at infinity

Cleanthous, Galatia

doi:10.1090/S0002-9939-2014-12084-3

Monotonicity theorems for analytic functions centered at infinity
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Proc. Amer. Math. Soc. 142 (2014), 3545-3551 Request permission

Abstract:

We consider the family of analytic functions centered at infinity with Laurent expansion $f(z)=cz+c_{0}+\sum _{j=1}^{\infty }c_{j}z^{-j}.$ We prove some monotonicity theorems involving geometric quantities such as diameter, radius and length.

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