Orthogonal Polynomials and Special Functions Computation and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Marcellán, Francisco (Editor), Assche, Walter Van (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Mathematics, 1883
• Subjects: Mathematics.; Approximation theory.; Fourier analysis.; Special functions.; Numerical analysis.; Approximations and Expansions.; Special Functions.; Numerical Analysis.; Fourier Analysis.

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, bu...

Table of Contents:

• 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.