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020 _a9783540392958
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024 7 _a10.1007/BFb0083349
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
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072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
245 1 0 _aOrthogonal Polynomials and their Applications
_h[electronic resource] :
_bProceedings of an International Symposium held in Segovia, Spain, Sept. 22–27, 1986 /
_cedited by Manuel Alfaro, Jesús S. Dehesa, Francisco J. Marcellan, José L. Rubio de Francia, Jaime Vinuesa.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1988.
300 _aCCCLVI, 338 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1329
505 0 _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.
520 _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).
650 0 _aNumerical analysis.
650 0 _aGlobal analysis (Mathematics).
650 0 _aStatistics.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aStatistics, general.
_0http://scigraph.springernature.com/things/product-market-codes/S0000X
700 1 _aAlfaro, Manuel.
_eeditor.
_4edt
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700 1 _aDehesa, Jesús S.
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700 1 _aMarcellan, Francisco J.
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700 1 _aRubio de Francia, José L.
_eeditor.
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700 1 _aVinuesa, Jaime.
_eeditor.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662214558
776 0 8 _iPrinted edition:
_z9783540194897
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1329
856 4 0 _uhttps://doi.org/10.1007/BFb0083349
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