Science/Engineering Orthogonal Polynomials and Special Functions: Computation and Application (3540310622)

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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 Askeys scheme using Leonard pairs, and non-linear special functions associated with the Painlev equations.

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	Science/Engineering Difference Equations, Special Functions and Orthogonal Polynomials: Proceedings of the International Conference: Munich, German S. Elaydi, J. Cushing, R. Lasser, V. Papageorgiou, A. Ruffing “Difference Equations, Special Functions and Orthogonal Polynomials: Proceedings of the International Conference: Munich, Germany 25-30, July 2005" World Scientific Publishing ...
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	Mathematics Difference Equations, Special Functions and Orthogonal Polynomials: Proceedings of the International Conference: Munich, Germany 25-30, July 2005 Author: Publisher: World Scientific Publishing Company (2007)Binding: Hardcover, 773 pagespricer: $216.00ISBN-10: 9812706437editorialreviewscheckedchecked
	Orthogonal Polynomials and Special Functions: Leuven 2002 (Lecture Notes in Mathematics) Author: Publisher: Springer (2003)Binding: Paperback, 249 pagespricer: $64.95ISBN-10: 3540403752editorialreviewsThe set of lectures from the Summer School held in Leuven in 2002 provide an up-to-date account of recent developments in orthog ...
	Orthogonal Polynomials and Special Functions: Computation and Applications (Lecture Notes in Mathematics) Author: Publisher: Springer (2006)Binding: Paperback, 422 pagespricer: $89.95ISBN-10: 3540310622editorialreviewsSpecial functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without t ...

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