Deficient values and angular distribution of entire functions-Reference-Cited by-同舟云学术

Deficient values and angular distribution of entire functions

Published:1988 Issue:2 Volume:308 Page:583-601
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Yang Lo

Abstract

Let f ( z ) f(z) be an entire function of positive and finite order μ \mu . If f ( z ) f(z) has a finite number of Borel directions of order ⩾ μ \geqslant \mu , then the sum of numbers of finite nonzero deficient values of f ( z ) f(z) and all its primitives does not exceed 2 μ 2\mu . The proof is based on several lemmas and application of harmonic measure.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1988-308-02/S0002-9947-1988-0930073-8/S0002-9947-1988-0930073-8.pdf

Reference13 articles.

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2. Proof of a conjecture of F. Nevanlinna concerning functions which have deficiency sum two;Drasin, David;Acta Math.,1987

3. Quasiconformal modifications of functions having deficiency sum two;Drasin, David;Ann. of Math. (2),1981

4. Valeurs déficientes et valeurs asymptotiques des fonctions méromorphes;Edrei, Albert;Comment. Math. Helv.,1959

5. Oxford Mathematical Monographs;Hayman, W. K.,1964

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