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Orthogonal Polynomials and Special Functions

Computation and Applications

Paperback Engels 2006 2006e druk 9783540310624
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.

Specificaties

ISBN13:9783540310624
Taal:Engels
Bindwijze:paperback
Aantal pagina's:422
Uitgever:Springer Berlin Heidelberg
Druk:2006

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Inhoudsopgave

Orthogonal Polynomials, Quadrature, and Approximation: Computational Methods and Software (in Matlab).- Equilibrium Problems of Potential Theory in the Complex Plane.- Discrete Orthogonal Polynomials and Superlinear Convergence of Krylov Subspace Methods in Numerical Linear Algebra.- Orthogonal Rational Functions on the Unit Circle: from the Scalar to the Matrix Case.- Orthogonal Polynomials and Separation of Variables.- An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials.- Painlevé Equations — Nonlinear Special Functions.

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        Orthogonal Polynomials and Special Functions