대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권2호
  • /
  • Pages.369-378
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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THE ITERATION OF ENTIRE FUNCTION

  • Sun, Jianwu (Department of Mathematics, Huaiyin Teacher's College)
  • 발행 : 2001.05.01
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초록

In this paper, we obtain the following results: Let f be a transcendental entire function with log M(r,f)=$O(log r)^\beta (e^{log r}^\alpha)\; (0\leq\alpha<1,\beta>1$). Then every component of N(f) is bounded. This result generalizes the result of Baker.

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참고문헌

  1. J. Austral. Math. Soc. v.30 The iteration of polynomials and transcendental entire functions I. N. Baker
  2. Integral Functions M.L. Cartwright
  3. Bull. Soc. Math. France v.47 Sur les equations fonctionelles P. Fatou
  4. Acta. Math. v.47 Sur Piteration des fonctions transcendantes entieres
  5. Math. Proc. Camb. Phil. Soc. v.114 The iteration of entire function of small growth G. M. Stallard