Orthogonal polynomials and special functions : computation and applications
著者
書誌事項
Orthogonal polynomials and special functions : computation and applications
（Lecture notes in mathematics, 1883）
Springer, c2006
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注記
"These are the lecture notes of the fifth European summer school on Orthogonal Polynomials and Special Functions, which was held at the Universidad Carlos III de Madrid, Leganés, Spain from July 8 to July 18, 2004."--Pref
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.- Painleve Equations - Nonlinear Special Functions.
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