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Weighted Polynomials

  • Edward B. Saff
  • Vilmos Totik
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 316)

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.

Keywords

Chebyshev Polynomial Supremum Norm Monic Polynomial Logarithmic Capacity Unbounded Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Edward B. Saff
    • 1
  • Vilmos Totik
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of South Florida Institute for Constructive MathematicsTampaUSA
  2. 2.Bolyai InstituteJozsef Attila UniversitySzegedHungary
  3. 3.Department of MathematicsUniversity of South FloridaTampaUSA

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