Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON THE NORMALITY OF TRANSLATED FAMILIES OF TRANSCENDENTAL ENTIRE FUNCTIONS

  • KIM JEONG HEON (Department of Mathematics, Soongsil University) ;
  • KWON KI HO (Department of Mathematics, Korea Military Academy) ;
  • PARK SUK BONG (Department of Mathematics, Korea Military Academy)
  • Published : 2005.01.01

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Abstract

For a certain set G in the complex plane, we construct a transcendental entire function f whose translated family ${f(2^{n}z)}$ is normal only at z in G and establish the relation between the normal family and the Julia direction of f(z).

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