Catherine Bénéteau
University of South Florida
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Publication
Featured researches published by Catherine Bénéteau.
Computational Methods and Function Theory | 2004
Catherine Bénéteau; Anders Dahlner; Dmitry Khavinson
Bohr’s Theorem [10] states that analytic functions bounded by 1 in the unit disk have power series
Computational Methods and Function Theory | 2006
Catherine Bénéteau; Dmitry Khavinson
\sum a_n z^n
Journal D Analyse Mathematique | 2015
Catherine Bénéteau; Alberto A. Condori; Constanze Liaw; Daniel Seco; Alan Sola
such that
Archive | 2005
Dov Aharonov; Catherine Bénéteau; Dmitry Khavinson; Harold S. Shapiro
\sum |a_n||z|^n<1
Pacific Journal of Mathematics | 2015
Catherine Bénéteau; Alberto A. Condori; Constanze Liaw; Daniel Seco; Alan Sola
in the disk of radius 1/3 (the so-called Bohr radius). On the other hand, it is known that there is no such Bohr phenomenon in Hardy spaces with the usual norm, although it is possible to build equivalent norms for which a Bohr phenomenon does occur. In this paper, we consider Hardy space functions that vanish at the origin and obtain an exact positive Bohr radius. Also, following [4, 11], we discuss the growth and Bohr phenomena for series of the type
Computational Methods and Function Theory | 2010
Catherine Bénéteau; Brent J. Carswell; Sherwin Kouchekian
\sum |a_n|^p r^n
PRIMUS | 2017
Catherine Bénéteau; Zdeňka Guadarrama; Jill Guerra; Laurie Lenz; Jennifer E. Lewis; Andrei Straumanis
,
Journal of The London Mathematical Society-second Series | 2016
Catherine Bénéteau; Dmitry Khavinson; Alan Sola; Constanze Liaw; Daniel Seco
0<p<2
Analysis | 2001
Catherine Bénéteau; Boris Korenblum
, that come from functions
Archive | 2018
Catherine Bénéteau; Nicole Hudson
f(z) = \sum a_n z^n
