On the self-intersections of the image of the unit circle under a polynomial mapping
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- by J. R. Quine PDF
- Proc. Amer. Math. Soc. 39 (1973), 135-140 Request permission
Abstract:
We prove that if $p$ is a polynomial of degree $n$, then with certain exceptions the image of the unit circle under the mapping $p$ has at most ${(n - 1)^2}$ points of self-intersection. We apply our method to the problem of computing polynomials univalent in $|z| < 1$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 135-140
- MSC: Primary 30A06
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313485-X
- MathSciNet review: 0313485