THE ITERATION OF ENTIRE FUNCTION

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

Abstract

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.

Keywords

References

  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