Regularity of growth and the class 𝒮

Drasin, D.

doi:10.1090/S1088-4173-07-00159-2

Regularity of growth and the class $\mathcal S$
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by D. Drasin

Conform. Geom. Dyn. 11 (2007), 90-100

DOI: https://doi.org/10.1090/S1088-4173-07-00159-2

Published electronically: June 11, 2007

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Erratum: Conform. Geom. Dyn. 12 (2008), 187-187.

Abstract:

Given $1/2\leq \mu \leq \rho \leq \infty$, there is an entire function $f(z)$ in the Speiser class $\mathcal {S}$ of order $\rho$, lower order $\mu$. $f$ may have as few as three singular values.

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Bibliographic Information

D. Drasin
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
Email: drasin@math.purdue.edu
Received by editor(s): July 11, 2006
Published electronically: June 11, 2007
Additional Notes: This work was initiated in 2001 when at the University of Nottingham, under SRC support. Presented December 3, 2005 at the Quasifest (Helsinki) in honor of the anniversaries of Seppo Rickman and Jussi Väisälä. The author thanks both Mathematics Departments for their hospitality and atmosphere.
Journal: Conform. Geom. Dyn. 11 (2007), 90-100
DOI: https://doi.org/10.1090/S1088-4173-07-00159-2
MathSciNet review: 2314244