On the unique range set of meromorphic functions-Reference-Cited by-同舟云学术

On the unique range set of meromorphic functions

Published:1996 Issue:1 Volume:124 Page:177-185
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Li Ping,Yang Chung-Chun

Abstract

This paper studies the unique range set of meromorphic functions and shows that there exists a finite set S S such that for any two nonconstant meromorphic functions f f and g g the condition E f ( S ) = E g ( S ) E_f(S)=E_g(S) implies f ≡ g f\equiv g . As a special case this also answers an open question posed by Gross (1977) about entire functions and improves some results obtained recently by Yi.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-01/S0002-9939-96-03045-6/S0002-9939-96-03045-6.pdf

Reference7 articles.

1. F. Gross, Complex analysis, Lecture Notes in Math., vol. 599, Springer, Berlin and New York, 1977 pp. 51–69

2. On preimage and range sets of meromorphic functions;Gross, Fred;Proc. Japan Acad. Ser. A Math. Sci.,1982

3. F. Gross, Factorizations of meromorphic functions, U.S. Government Printing Office Publication, Washington D.C., 1972.

4. On the characteristic of functions meromorphic in the unit disk and of their integrals;Hayman, W. K.;Acta Math.,1964

5. On deficiencies of differential polynomials. II;Yang, Chung Chun;Math. Z.,1972

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