Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 343-355

A NON-POWER SERIES APPROACH TO WIMAN-VALIRON TYPE THEOREMS

P.C. Fenton and John Rossi

University of Otago, Department of Mathematics and Statistics
P.O. Box 56, Dunedin, New Zealand; pfenton'at' maths.otago.ac.nz

Virginia Tech, Department of Mathematics
Blacksburg, VA 24061-0123, U.S.A.; rossij 'at' math.vt.edu

Abstract. Using ideas developed by Bergweiller, Rippon and Stallard, we improve three theorems of Wiman-Valiron type without the use of power series.

2010 Mathematics Subject Classification: Primary 30D30; Secondary 30D20, 32A15.

Key words: Wiman-Valiron theory, subharmonic function, direct track.

Reference to this article: P.C. Fenton and J. Rossi: A non-power series approach to Wiman-Valiron type theorems. Ann. Acad. Sci. Fenn. Math. 41 (2016), 343-355.

Full document as PDF file

doi:10.5186/aasfm.2016.4124