Geodesic
A note on the separated maximum modulus points of meromorphic functions
Ewa Ciechanowicz1 ; Ivan I. Marchenko1
1Institute of Mathematics University of Szczecin Wielkopolska 15 70-451 Szczecin, Poland
Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 295-310
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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.
DOI : 10.4064/ap110-3-6
Keywords: upper estimate petrenkos deviation meromorphic function finite lower order terms valirons defect number infty separated maximum modulus points function present examples showing estimate sharp

Ewa Ciechanowicz  1   ; Ivan I. Marchenko  1

1 Institute of Mathematics University of Szczecin Wielkopolska 15 70-451 Szczecin, Poland 
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Ewa Ciechanowicz; Ivan I. Marchenko. A note on the separated maximum modulus points of meromorphic functions. Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 295-310. doi: 10.4064/ap110-3-6

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