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Logarithmic Potentials With External Fields Grundlehren Der Mathematischen Wissenschaften 316 Softcover Reprint Of Hardcover 1st Ed 1997 Edward B Saff

  • SKU: BELL-51186942
Logarithmic Potentials With External Fields Grundlehren Der Mathematischen Wissenschaften 316 Softcover Reprint Of Hardcover 1st Ed 1997 Edward B Saff
$ 31.00 $ 45.00 (-31%)

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Logarithmic Potentials With External Fields Grundlehren Der Mathematischen Wissenschaften 316 Softcover Reprint Of Hardcover 1st Ed 1997 Edward B Saff instant download after payment.

Publisher: Springer
File Extension: DJVU
File size: 3.65 MB
Pages: 520
Author: Edward B. Saff, Vilmos Totik
ISBN: 9783642081736, 3642081738
Language: English
Year: 2010
Edition: Softcover reprint of hardcover 1st ed. 1997

Product desciption

Logarithmic Potentials With External Fields Grundlehren Der Mathematischen Wissenschaften 316 Softcover Reprint Of Hardcover 1st Ed 1997 Edward B Saff by Edward B. Saff, Vilmos Totik 9783642081736, 3642081738 instant download after payment.

In recent years approximation theory and the theory of orthogonal polynomials have witnessed a dramatic increase in the number of solutions of difficult and previously untouchable problems. This is due to the interaction of approximation theoretical techniques with classical potential theory (more precisely, the theory of logarithmic potentials, which is directly related to polynomials and to problems in the plane or on the real line). Most of the applications are based on an exten­ sion of classical logarithmic potential theory to the case when there is a weight (external field) present. The list of recent developments is quite impressive and includes: creation of the theory of non-classical orthogonal polynomials with re­ spect to exponential weights; the theory of orthogonal polynomials with respect to general measures with compact support; the theory of incomplete polynomials and their widespread generalizations, and the theory of multipoint Pade approximation. The new approach has produced long sought solutions for many problems; most notably, the Freud problems on the asymptotics of orthogonal polynomials with a respect to weights of the form exp(-Ixl ); the "l/9-th" conjecture on rational approximation of exp(x); and the problem of the exact asymptotic constant in the rational approximation of Ixl. One aim of the present book is to provide a self-contained introduction to the aforementioned "weighted" potential theory as well as to its numerous applications. As a side-product we shall also fully develop the classical theory of logarithmic potentials.

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