Classical and quantum orthogonal polynomials in one variable:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 98 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 706 pages) |
| ISBN: | 9781107325982 |
| DOI: | 10.1017/CBO9781107325982 |
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| 245 | 1 | 0 | |a Classical and quantum orthogonal polynomials in one variable |c Mourad E.H. Ismail ; with two chapters by Walter Van Assche |
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| 505 | 8 | |a 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 | |a 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 | ||
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| 700 | 1 | |a Assche, Walter van |d 1958- |e Sonstige |4 oth | |
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| author_facet | Ismail, Mourad 1944- |
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| bvnumber | BV043941553 |
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| contents | 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 |
| ctrlnum | (ZDB-20-CBO)CR9781107325982 (OCoLC)852633808 (DE-599)BVBBV043941553 |
| dewey-full | 515.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.55 |
| dewey-search | 515.55 |
| dewey-sort | 3515.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107325982 |
| format | Electronic eBook |
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| id | DE-604.BV043941553 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9781107325982 |
| language | English |
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| physical | 1 online resource (xviii, 706 pages) |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Ismail, Mourad 1944- Verfasser aut Classical and quantum orthogonal polynomials in one variable Mourad E.H. Ismail ; with two chapters by Walter Van Assche Classical & Quantum Orthogonal Polynomials in One Variable Cambridge Cambridge University Press 2005 1 online resource (xviii, 706 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 98 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s 1\p DE-604 Assche, Walter van 1958- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-14347-9 Erscheint auch als Druckausgabe 978-0-521-78201-2 https://doi.org/10.1017/CBO9781107325982 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ismail, Mourad 1944- Classical and quantum orthogonal polynomials in one variable 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 Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4172863-4 |
| title | Classical and quantum orthogonal polynomials in one variable |
| title_alt | Classical & Quantum Orthogonal Polynomials in One Variable |
| title_auth | Classical and quantum orthogonal polynomials in one variable |
| title_exact_search | Classical and quantum orthogonal polynomials in one variable |
| title_full | Classical and quantum orthogonal polynomials in one variable Mourad E.H. Ismail ; with two chapters by Walter Van Assche |
| title_fullStr | Classical and quantum orthogonal polynomials in one variable Mourad E.H. Ismail ; with two chapters by Walter Van Assche |
| title_full_unstemmed | Classical and quantum orthogonal polynomials in one variable Mourad E.H. Ismail ; with two chapters by Walter Van Assche |
| title_short | Classical and quantum orthogonal polynomials in one variable |
| title_sort | classical and quantum orthogonal polynomials in one variable |
| topic | Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Orthogonal polynomials Orthogonale Polynome |
| url | https://doi.org/10.1017/CBO9781107325982 |
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