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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On meromorphic functions with finite logarithmic order


Author: Peter Tien-Yu Chern
Journal: Trans. Amer. Math. Soc. 358 (2006), 473-489
MSC (2000): Primary 30D30, 30D35
Published electronically: September 26, 2005
MathSciNet review: 2177027
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Abstract: By using a slow growth scale, the logarithmic order, with which to measure the growth of functions, we obtain basic results on the value distribution of a class of meromorphic functions of zero order.


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Additional Information

Peter Tien-Yu Chern
Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Address at time of publication: Department of Applied Mathematics, I-Shou University, Kaohsiung, Taiwan 840, R.O.C.
Email: pchern@math.msu.edu, tychern@isu.edu.tw

DOI: http://dx.doi.org/10.1090/S0002-9947-05-04024-9
PII: S 0002-9947(05)04024-9
Keywords: Logarithmic Borel exceptional value, Borel direction of logarithmic order, finite logarithmic order
Received by editor(s): March 11, 2003
Published electronically: September 26, 2005
Additional Notes: This paper was supported in part by the NSC R.O.C. under the grants NSC 86-2115-M214-001 and NSC 93-2115-M-214-005, a fund from Academia Sinica (Taipei, Taiwan), and funds from Michigan State University and Northern Illinois University.
Article copyright: © Copyright 2005 American Mathematical Society