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On Uniqueness of Meromorphic Functions with Shared Values in Some Angular Domains

  • Zheng Jian-Hua (a1)

Abstract

In this paper we investigate the uniqueness of transcendental meromorphic function dealing with the shared values in some angular domains instead of the whole complex plane.

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References

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[1] Baernstein, A., Proof of Edrei's spread conjecture. Proc. London Math. Soc. 26 (1973), 418434.
[2] Baker, I. N., Sets of non-normality in iteration theory. J. London Math. Soc. 40 (1965), 499502.
[3] Baker, I. N., Kotus, J. and , Y., Iterates of meromorphic functions: I. Ergodic Theory Dynamical Systems 11 (1991), 241248.
[4] Bergweiler, W., Iteration of meromorphic functions. Bull. Amer.Math. Soc. (N.S.) 29 (1993), 151188.
[5] Cebotarev, N. G., Ueber die Realit¨at von Nullstellen ganzer transzendenten Funktionen. Math. Ann. 99 (1928), 660686.
[6] Edrei, A., Meromorphic functions with three radially distributed values. Trans. Amer.Math. Soc. 78 (1955), 276293.
[7] Edrei, A., Sums of deficiencies of meromorphic functions. J. AnalyseMath. 14 (1965), 79107.
[8] Frank, G. and Schwick, W., Meromorphe Funktionen, die mit einer Ableitung drei Werte teilen. Results Math. 22 (1992), 679684.
[9] Hayman, W. K., Meromorphic functions. Oxford, 1964.
[10] Goldberg, A. A. and Ostrovskii, I. V., The distribution of values of meromorphic functions. (Russian) Izdat. Nauka, Moscow, 1970.
[11] Levin, B. Ya., Distribution of zeros of entire functions. (Russian original, Moscow, 1956) Transl. Math. Monographs 5, American Mathematical Society, Providence, 1964.
[12] Nevanlinna, R., Le théorème de Picard-Borel et la théorie des fonctions méromorphes. Paris, 1929.
[13] Yang, L., Borel directions of meromorphic functions in an angular domain. Sci. Sinica 1979, 149163.
[14] Yang, L. and Yang, C.-C. Angular distribution of values of f f′. Science in China, 37 (1994), 284294.
[15] Zheng, J. H., On the growth of meromorphic functions with two radially distributed values. J. Math. Anal. Appl. 206 (1997), 140154.
[16] Zheng, J. H., On transcendental meromorphic functions with radially distributed values. Science in China, to appear.
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On Uniqueness of Meromorphic Functions with Shared Values in Some Angular Domains

  • Zheng Jian-Hua (a1)

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