Abstract
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.
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© 1997 Springer-Verlag Berlin Heidelberg
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Saff, E.B., Totik, V. (1997). Weighted Polynomials. In: Logarithmic Potentials with External Fields. Grundlehren der mathematischen Wissenschaften, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03329-6_4
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DOI: https://doi.org/10.1007/978-3-662-03329-6_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08173-6
Online ISBN: 978-3-662-03329-6
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