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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Meromorphic functions and smooth analytic functions


Author: Robert Kaufman
Journal: Proc. Amer. Math. Soc. 61 (1976), 272-274
MSC: Primary 30A68
MathSciNet review: 0427633
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Abstract: Meromorphic functions with many zeroes can have logarithmic derivatives that are relatively smooth. We prove this, with a new construction of smooth analytic functions with many zeroes. Our examples belong to the theory of differential fields of functions.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0427633-7
Keywords: Logarithmic derivative, conformal mapping, Poisson integral, zero set
Article copyright: © Copyright 1976 American Mathematical Society