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Rational functions with linear relations
Author(s):
Ariane
M.
Masuda;
Michael
E.
Zieve
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1403-1408.
MSC (2000):
Primary 39B12;
Secondary 12E05, 30D05
Posted:
December 7, 2007
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Abstract:
We find all polynomials  over a field  such that  and  are linear and  . We also solve the same problem for rational functions  , in case the field  is algebraically closed.
References:
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Additional Information:
Ariane
M.
Masuda
Affiliation:
School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON K1S 5B6, Canada
Address at time of publication:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 5B6, Canada
Email:
amasuda@uottawa.ca
Michael
E.
Zieve
Affiliation:
Center for Communications Research, 805 Bunn Drive, Princeton, New Jersey 08540
Email:
zieve@math.rutgers.edu
DOI:
10.1090/S0002-9939-07-09246-5
PII:
S 0002-9939(07)09246-5
Keywords:
Functional equation,
commuting rational functions
Received by editor(s):
February 15, 2007
Posted:
December 7, 2007
Additional Notes:
The authors thank Bob Beals, Alan Beardon, Alex Erëmenko, and Patrick Ng for useful correspondence.
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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