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1997 | OriginalPaper | Buchkapitel

Weighted Polynomials

verfasst von : Edward B. Saff, Vilmos Totik

Erschienen in: Logarithmic Potentials with External Fields

Verlag: Springer Berlin Heidelberg

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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.

Metadaten
Titel
Weighted Polynomials
verfasst von
Edward B. Saff
Vilmos Totik
Copyright-Jahr
1997
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-03329-6_4

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