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The Resource Orthogonal polynomials and special functions : computation and applications, F. Marcellán, W. van Assche (eds.)

Orthogonal polynomials and special functions : computation and applications, F. Marcellán, W. van Assche (eds.)

Label
Orthogonal polynomials and special functions : computation and applications
Title
Orthogonal polynomials and special functions
Title remainder
computation and applications
Statement of responsibility
F. Marcellán, W. van Assche (eds.)
Contributor
Subject
Language
eng
Summary
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey's scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations
Member of
Is part of
Cataloging source
GW5XE
Dewey number
515/.55
Illustrations
  • illustrations
  • portraits
Index
index present
LC call number
QA404.5
LC item number
.O735 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1958-
http://library.link/vocab/relatedWorkOrContributorName
  • Marcellán, Francisco
  • Assche, Walter van
Series statement
Lecture notes in mathematics,
Series volume
1883
http://library.link/vocab/subjectName
  • Orthogonal polynomials
  • Functions, Special
  • Polynômes orthogonaux
  • Fonctions spéciales
  • MATHEMATICS
  • MATHEMATICS
  • Polynômes orthogonaux
  • Fonctions spéciales
  • Orthogonale reeksen
  • Speciale functies (wiskunde)
  • Orthogonal polynomials
  • Functions, Special
  • Functions, Special
  • Orthogonal polynomials
  • Orthogonale reeksen
  • Speciale functies (wiskunde)
Label
Orthogonal polynomials and special functions : computation and applications, F. Marcellán, W. van Assche (eds.)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab) / Walter Gautschi -- Equilibrium problems of potential theory in the complex plane / Andrei Martinez Finkelshtein -- Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra / Bernhard Beckermann -- Orthogonal rational functions on the unit circle: from the scalar to the matrix case / Adhemar Bultheel [and others] -- Orthogonal polynomials and separation of variables / Vadim B. Kuznetsov -- An algebraic approach to the askey scheme of orthogonal polynomials / Paul Terwilliger -- Painlevé equations-nonlinear special functions / Peter A. Clarkson
Control code
262692201
Dimensions
unknown
Extent
1 online resource (xiv, 418 pages)
Form of item
online
Isbn
9786610635061
Lccn
2006923695
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b128597
Other physical details
illustrations, portrait.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-31062-4
Specific material designation
remote
System control number
(OCoLC)262692201
Label
Orthogonal polynomials and special functions : computation and applications, F. Marcellán, W. van Assche (eds.)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab) / Walter Gautschi -- Equilibrium problems of potential theory in the complex plane / Andrei Martinez Finkelshtein -- Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra / Bernhard Beckermann -- Orthogonal rational functions on the unit circle: from the scalar to the matrix case / Adhemar Bultheel [and others] -- Orthogonal polynomials and separation of variables / Vadim B. Kuznetsov -- An algebraic approach to the askey scheme of orthogonal polynomials / Paul Terwilliger -- Painlevé equations-nonlinear special functions / Peter A. Clarkson
Control code
262692201
Dimensions
unknown
Extent
1 online resource (xiv, 418 pages)
Form of item
online
Isbn
9786610635061
Lccn
2006923695
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b128597
Other physical details
illustrations, portrait.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-31062-4
Specific material designation
remote
System control number
(OCoLC)262692201

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