Classical and quantum orthogonal polynomials in one variable / (Record no. 517695)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03255nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9781107325982 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160232.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130129s2005||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781107325982 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521782012 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521143479 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA404.5 |
| Item number | .I85 2005 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.55 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ismail, Mourad, |
| Dates associated with a name | 1944- |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Classical and quantum orthogonal polynomials in one variable / |
| Statement of responsibility, etc | Mourad E.H. Ismail ; with two chapters by Walter Van Assche. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Classical & Quantum Orthogonal Polynomials in One Variable |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xviii, 706 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | volume 98 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Orthogonal polynomials. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Assche, Walter van, |
| Dates associated with a name | 1958- |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521782012 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | v. 98. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9781107325982">https://doi.org/10.1017/CBO9781107325982</a> |
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