Korean Journal of Mathematics
- Volume 16 Issue 1
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- Pages.51-55
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- 2008
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
REPULSIVE FIXED-POINTS OF THE LAGUERRE-LIKE ITERATION FUNCTIONS
- Ham, YoonMee (Department of Mathematics Kyonggi University) ;
- Lee, Sang-Gu (Department of Mathematics Sungkyunkwan University)
- Received : 2008.01.14
- Published : 2008.03.10
Abstract
Let f be an analytic function with a simple zero in the reals or the complex numbers. An extraneous fixed-point of an iteration function is a fixed-point different from a zero of f. We prove that all extraneous fixed-points of Laguerre-like iteration functions and general Laguerre-like functions are repulsive.