Representation of Lie Groups and Special Functions : Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms

A. U. Klimyk

ISBN 10: 9401055661 / ISBN 13: 9789401055666

Edité par Springer Netherlands, Springer Netherlands, 2012

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - One service mathematici has rendered the 'Et moi, . si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series.

N° de réf. du vendeur 9789401055666

Détails bibliographiques

• Titre: Representation of Lie Groups and Special Functions : Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms
• Éditeur: Springer Netherlands, Springer Netherlands
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 9401055661
• ISBN à 13 chiffres: 9789401055666
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 35 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 35 millimètres de profondeur
• Poids: 955 grammes

A propos de ce titre

Synopsis

One service mathematici has rendered the 'Et moi, ...- si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series.

Présentation de l'éditeur

The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to Clebsch-Gordan coefficients of the unitary group U (n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics.