Orthogonal Polynomials of Several Variables

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Orthogonal Polynomials of Several Variables by Charles F. Dunkl, Yuan Xu, Cambridge University Press
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Author: Charles F. Dunkl, Yuan Xu ISBN: 9781316054802
Publisher: Cambridge University Press Publication: August 21, 2014
Imprint: Cambridge University Press Language: English
Author: Charles F. Dunkl, Yuan Xu
ISBN: 9781316054802
Publisher: Cambridge University Press
Publication: August 21, 2014
Imprint: Cambridge University Press
Language: English

Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers.

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Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers.

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