Orthogonal Polynomials and their Applications : Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986 / edited by Manuel Alfaro, Jesús S. Dehesa, Francisco J. Marcellan, José L. Rubio de Francia, Jaime Vinuesa.

Format:

Book

Contributor:

Alfaro, M. (Manuel), editor.

Dehesa, J. S. (Jesus S.), 1947- editor.

Marcellan, Francisco J., editor.

Rubio de Francia, J.-L., 1949- editor.

Vinuesa, Jaime, 1948- editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1329.

Lecture Notes in Mathematics, 0075-8434 ; 1329

Language:

English

Subjects (All):

Numerical analysis.

Global analysis (Mathematics).

Statistics.

Numerical Analysis.

Analysis.

Statistics, general.

Local Subjects:

Numerical Analysis.

Analysis.

Statistics, general.

Physical Description:

1 online resource (CCCLVI, 338 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

Summary:

The Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in orthogonal polynomials. This volume contains original research papers as well as survey papers about fundamental questions in the field (Nevai, Rakhmanov and López) and its relationship with other fields such as group theory (Koornwinder), Padé approximation (Brezinski), differential equations (Krall, Littlejohn) and numerical methods (Rivlin).

Contents:

Error estimate in pade approximation

Orthogonal polynomials in monotone and convex interpolation

Polynomials orthogonal with respect to singular continuous measures

Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials

A review of orthogonal polynomials satisfying boundary value problems

Orthogonal polynomial solutions to ordinary and partial differential equations

Rational approximations, orthogonal polynomials and equilibrium distributions

Factorization of second order difference equations and its application to orthogonal polynomials

Gauss quadrature for analytic functions

On the Geronimus polynomial sets

The bounds for the error term of an asymptotic approximation of Jacobi polynomials

The distribution of zeros of the polynomial eigenfunctions of ordinary differential operators of arbitrary order

Orthogonal polynomials and jump modifications

Electrostatic interpretation of zeros

Associated dual Hahn polynomials

Szego's Theorem for polynomials orthogonal with respect to varying measures

Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials

Le calcul des formes lineaires et les polynômes orthogonaux semi-classioues

The Lp minimality and near-minimality of orthogonal polynomial approximation and integration methods

Orthogonal rational functions with poles in a finite subset of R

Nth-root asymptotics of orthonormal polynomials and non-diagonal pade approximants

Zeros of orthogonal polynomials on harmonic algebraic curves

Open problems.

Other Format:

Printed edition:

ISBN:

9783540392958

Access Restriction:

Restricted for use by site license.