Weighted Polynomials

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


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.


Chebyshev Polynomial Supremum Norm Monic Polynomial Logarithmic Capacity Unbounded Component 
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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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