LEADER 04231nam 2200613 450 001 996466772503316 005 20220908083100.0 010 $a3-540-39295-5 024 7 $a10.1007/BFb0083349 035 $a(CKB)1000000000437476 035 $a(SSID)ssj0000325475 035 $a(PQKBManifestationID)12069572 035 $a(PQKBTitleCode)TC0000325475 035 $a(PQKBWorkID)10323861 035 $a(PQKB)10253858 035 $a(DE-He213)978-3-540-39295-8 035 $a(MiAaPQ)EBC5591787 035 $a(Au-PeEL)EBL5591787 035 $a(OCoLC)1066195473 035 $a(MiAaPQ)EBC6842328 035 $a(Au-PeEL)EBL6842328 035 $a(OCoLC)793079073 035 $a(PPN)155180576 035 $a(EXLCZ)991000000000437476 100 $a20220908d1988 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aOrthogonal polynomials and their applications $eproceedings of an international symposium held in Segovia, Spain, Sept. 22-27 1986 /$fM. Alfaro [and four others], editors 205 $a1st ed. 1988. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1988] 210 4$d©1988 215 $a1 online resource (CCCLVI, 338 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1329 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-19489-4 311 $a3-540-19489-4 327 $aError 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. 330 $aThe Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in orthogonal polynomials. This volume contains original research papers as well as survey papers about fundamental questions in the field (Nevai, Rakhmanov & López) and its relationship with other fields such as group theory (Koornwinder), Padé approximation (Brezinski), differential equations (Krall, Littlejohn) and numerical methods (Rivlin). 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1329. 606 $aOrthogonal polynomials$vCongresses 615 0$aOrthogonal polynomials 676 $a515.55 702 $aAlfaro$b M$g(Manuel), 712 12$aInternational Symposium on Orthogonal Polynomials and Their Applications$d(2nd :$f1986 :$eSegovia, Spain) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466772503316 996 $aOrthogonal polynomials and their applications$980235 997 $aUNISA