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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
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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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