Common Borel directions of a meromorphic function with zero order and its derivative-Reference-Cited by-同舟云学术

Common Borel directions of a meromorphic function with zero order and its derivative

Published:2003-10-02 Issue:4 Volume:132 Page:1171-1175
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chern Tien-Yu

Abstract

There is a meromorphic function of zero order for which the function and its derivative have no common Borel direction.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-04/S0002-9939-03-07195-8/S0002-9939-03-07195-8.pdf

Reference9 articles.

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2. [2] Chia-tai Chuang, “Un théorème relatif aux directions de Borel des fonctions méromorphes d’ordre fini, C. R. Acad. Sci. 204 (1937), 951-952.

3. Annihilator ideals and representation iteration for abstract rings;Everett, C. J., Jr.;Duke Math. J.,1939

4. [4] A. Rauch, Cas ou une direction de Borel d’une fonction entière 𝑓(𝑧) d’ordre finite est aussi direction de Borel pour 𝑓’(𝑧), C. R. Acad. Sci., 199 (1934), 1014-1016.

5. A sharp result concerning cercles de remplissage;Rossi, John;Ann. Acad. Sci. Fenn. Ser. A I Math.,1995

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