Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 2
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- Pages.335-348
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Finitely normal families of integer translations
Abstract
For an open set G in the complex plane C, we prove the existence of an entire function f such that its integer translations forms a finitely normal family exactly on G if and only if G is periodic with period 1 and G has no hole.