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Classical and Quantum Orthogonal Polynomials in One Variable.
・ISBN 978-0-521-14347-9 2009 paper GB£ 84.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-107-32598-2
| 著者・編者 | Ismail, Mourad E. H., |
|---|---|
| シリーズ | Encyclopedia of Mathematics and its Applications |
| 出版社 | (Cambridge University Press, UK) |
| ページ数 | 726 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2183＞ |
解説
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those discovered over the last 50 years, e.g. Askey-Wilson and Al-Salam-Chihara polynomial systems. Multiple orthogonal polynomials are discussed here for the first time in book form. Many modern applications of the subject are dealt with, including birth and death processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject. Thoroughly updated and corrected since its original printing, this book continues to be valued as an authoritative reference not only by mathematicians, but also a wide range of scientists and engineers. Exercises ranging in difficulty are included to help both the graduate student and the newcomer.