Orthogonal Polynomials and their Applications : Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986. 1st ed. 1988

種類:

電子ブック

責任表示:

edited by Manuel Alfaro, Jesus S. Dehesa, Francisco J. Marcellan, Jose L. Rubio de Francia, Jaime Vinuesa

出版情報:

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

著者名:

Alfaro, Manuel.

Dehesa, Jesus S.

Marcellan, Francisco J.

Rubio de Francia, Jose L.

Vinuesa, Jaime.

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シリーズ名:

Lecture Notes in Mathematics ; 1329

ISBN:

9783540392958 [3540392955]    

注記:

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 Theor
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 & López) and its relationship with other fields such as group theory (Koornwinder), Padé approximation (Brezinski), differential equations (Krall, Littlejohn) and numerical methods (Rivlin).

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