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

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]