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On results of Czubiak-Gundersen and Osgood-Yang
Author(s):
Hong-Xun
Yi
Journal:
Proc. Amer. Math. Soc.
124
(1996),
585-590.
MSC (1991):
Primary 30D35, 30D20
MathSciNet review:
1301538
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Abstract:
This paper studies the problem of uniqueness of entire functions that share real zeros and real ones. An example is provided to show that a result of Czubiak and Gundersen is not completely correct. Results in this paper correct the result of Czubiak and Gundersen, and also correct a result of Osgood and Yang.
References:
- 1
- T. P. Czubiak and G. G. Gundersen, Entire functions that share real zeros and real ones, Proc. Amer. Math. Soc. 82 (1981), 393--397. MR 82h:30028
- 2
- A. Edrei, Meromorphic functions with three radially distributed values, Trans. Amer. Math. Soc. 78 (1955), 276--293. MR 16:808d
- 3
- C. F. Osgood and C. C. Yang, On the quotient of two integral functions, J. Math. Anal. Appl. 54 (1976), 408--418. MR 53:8421
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Additional Information:
Hong-Xun
Yi
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong, 250100, People's Republic of China
DOI:
10.1090/S0002-9939-96-03114-0
PII:
S 0002-9939(96)03114-0
Keywords:
Entire function,
uniqueness theorem,
shared value,
real zeros
Received by editor(s):
May 25, 1994
Received by editor(s) in revised form:
September 13, 1994
Additional Notes:
This research was partially supported by the National Natural Science Foundation of China
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1996,
American Mathematical Society
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