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Start Over Descriptor "Julia set" Search Limiters Available in Library Collection Topic chebyshev polynomials Publication Type Academic Journals Publisher cambridge university press

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1 results on '"Julia set"'

1. CHEBYSHEV POLYNOMIALS ON JULIA SETS AND EQUIPOTENTIAL CURVES FOR THE FAMILY P(z) = zd - c.

Author

Yingqing Xiao and Weiyuan Qiu

Subjects
*CHEBYSHEV polynomials, *CHEBYSHEV systems, *ORTHOGONAL polynomials, *JULIA sets, *FRACTALS, *POLYNOMIALS, *MATHEMATICS, *ECONOMETRICS, *MATHEMATICAL models
Abstract

It is shown that the dnth Chebyshev polynomials on the Julia set JP , and on the equipotential curve ΓP (R), of the polynomial P(z) = zd - c, are identical and exactly equal to the nth iteration of P(z) itself. As an application, the capacity of the Julia set Jp is deduced, a result that was first obtained by Brolin. [ABSTRACT FROM AUTHOR]

Published
2009
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