Titlebook: Logarithmic Potentials with External Fields; Edward B. Saff,Vilmos Totik Book 19971st edition Springer-Verlag Berlin Heidelberg 1997 Poten

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Applications Concerning Orthogonal Polynomials,lled Freud weights .(.) = exp(-|.|.) =: exp(-.(.)). On applying the substitution . → ... and the defining properties of orthogonal polynomials one arrives at monic polynomials .. minimizing the integral..

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Signed Measures,nergy problem with an external field has a unique solution that is characterized by a self duality property. The weighted equilibrium potential satisfies analogous inequalities and characterization as in the positive measure case.

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Edward B. Saff,Vilmos TotikThis book is devoted to the systematic mathematical study of the equilibrium problem of potential theory under the influence of an external field; as well as to its many-fold applications..The present

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978-3-642-08173-6Springer-Verlag Berlin Heidelberg 1997

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Logarithmic Potentials with External Fields978-3-662-03329-6Series ISSN 0072-7830 Series E-ISSN 2196-9701

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