Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE UNIQUENESS FOR ENTIRE FUNCTIONS

  • Chern, Peter Tien-Yu (Department of Applied Mathematics, I-Shou University) ;
  • Kim, Jong-Jin (Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University) ;
  • Kim, In-Su (Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University)
  • Received : 2007.09.16
  • Accepted : 2007.12.05
  • Published : 2007.12.25
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Abstract

We establish two uniqueness theorems for non-constant entire functions which extends results of J. S. Hwang in J. Math. Anal. and its Appl. Vol. 37 (1972) 452-456.

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References

  1. R.P. Boas, Entire functions, Academic Press, New York, 1954.
  2. J.S. Hwang, A uniqueness theorem for entire functions of exponential type, J. Math. Anal. and Appl. 37 (1972) pp. 452-456. https://doi.org/10.1016/0022-247X(72)90287-9
  3. D.C. Rung, Behavior of holomorphic functions in the unit disk on arcs of positve hyperbolic diameter, J. Math. Kyoto Univ. 8 (1968) pp. 417-464. https://doi.org/10.1215/kjm/1250524061
  4. R. Nevalinna, Eindeutique analytishe Funktionen, $2^e$ Aufl., Springer-Verlag, 1953.