A counterexample to the Arakelyan conjecture-Reference-Cited by-同舟云学术

A counterexample to the Arakelyan conjecture

Published:1992 Issue:1 Volume:27 Page:159-164
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Erëmenko A.

Abstract

A "self-similar" example is constructed that shows that a conjecture of N. U. Arakelyan on the order of decrease of deficiencies of an entire function of finite order is not true.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/1992-27-01/S0273-0979-1992-00299-9/S0273-0979-1992-00299-9.pdf

Reference11 articles.

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3. On the set of defect values of a finite-order entire function;Erëmenko, A. È.;Ukrain. Mat. Zh.,1987

4. A. Eremenko, Inverse problem of value distribution theory for meromorphic functions of finite order, Siberian Math. J. 27 (1987), 377-390. (English translation)

5. Lower estimate in Littlewood’s conjecture on the mean spherical derivative of a polynomial and iteration theory;Erëmenko, A. È.;Proc. Amer. Math. Soc.,1991

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