Meromorphic Functions and Smooth Analytic Functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1976Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 61, page 272 (issn: 0002-9939,

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Authors: Kaufman, Robert;

doi: 10.2307/2041324 , 10.1090/s0002-9939-1976-0427633-7

Meromorphic Functions and Smooth Analytic Functions

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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.

Related Organizations

DePaul University
United States
University of Illinois at Urbana Champaign
United States

Keywords

Blaschke products, etc., Meromorphic functions of one complex variable (general theory), \(H^p\)-classes

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