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Details for article 131 of 164 found articles
| Title: |
Periodic points of entire functions: proof of a conjecture of Baker |
| Author: |
Bergweiler, Walter |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 17 (1991) nr. 1-2 pages 57-72 |
| Year: |
1991-08 |
| Contents: |
Let f be an entire transcendental function and denote the nth iterate off by fn. Our main result is that if n ≥ 2, then there are infinitely many fixpoints of fn which are not fixpoints of fk for any k satisfying 1 ≤ k ≤ n. This had been conjectured by I. N. Baker in 1967. Actually, we prove that there are even infinitely many repelling fixpoints with this property. We also give a new proof of a conjecture of E Gross from 1966 which says that if h and g are entire transcendental functions, then the composite function hog has infinitely many fixpoints. We show that h∘g. has even infinitely many repelling fixpoints. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 131 of 164 found articles
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