Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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TRANSLATED FAMILIES {$f(2^{n}z)$} OF A TRANSCENDENTAL ENTIRE FUNCTION f(z)

  • Hua, Nan (Department of Mathematics, Soongsil University) ;
  • Kim, Jeong-Heon (Department of Mathematics, Soongsil University)
  • Published : 2007.09.30

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Abstract

For a certain open set G in the complex plane $\mathbb{C}$, we construct a transcendental entire function f, such that whose translated family {$f(2^nz)$} is finitely normal exactly on the set G.

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