A note on the separated maximum modulus points of meromorphic functions
Tom 110 / 2014
Annales Polonici Mathematici 110 (2014), 295-310
MSC: Primary 30D35; Secondary 30D30.
DOI: 10.4064/ap110-3-6
Streszczenie
We give an upper estimate of Petrenko's deviation for a meromorphic function of finite lower order in terms of Valiron's defect and the number $p(\infty ,f)$ of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.