Logarithmic potentials are intimately connected with polynomials on the complex plane. Indeed, if P n is a monic polynomial, then log(1/|P n |) is the potential of the counting measure on the zeros of P n . In a similar fashion, potentials with external fields are closely related to weighted polynomials. In this chapter we shall utilize this relationship.
KeywordsChebyshev Polynomial Supremum Norm Monic Polynomial Logarithmic Capacity Unbounded Component
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