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Classical and Quantum Orthogonal Polynomials in One Variable
Taschenbuch von Mourad E. H. Ismail
Sprache: Englisch

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Beschreibung
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
Über den Autor
Mourad E. H. Ismail is Professor of Mathematics at the University of Central Florida.
Inhaltsverzeichnis
Foreword; Preface; 1. Preliminaries; 2. Orthogonal polynomials; 3. Differential equations, Discriminants and electrostatics; 4. Jacobi polynomials; 5. Some inverse problems; 6. Discrete orthogonal polynomials; 7. Zeros and inequalities; 8. Polynomials orthogonal on the unit circle; 9. Linearization, connections and integral representations; 10. The Sheffer classification; 11. q-series Preliminaries; 12. q-Summation theorems; 13. Some q-Orthogonal polynomials; 14. Exponential and q-bessel functions; 15. The Askey-Wilson polynomials; 16. The Askey-Wilson operators; 17. q-Hermite polynomials on the unit circle; 18. Discrete q-orthogonal polynomials; 19. Fractional and q-fractional calculus; 20. Polynomial solutions to functional equations; 21. Some indeterminate moment problems; 22. The Riemann-Hilbert problem for orthogonal polynomials; 23. Multiple orthogonal polynomials; 24. Research problems; Bibliography; Index; Author index.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 726
ISBN-13: 9780521143479
ISBN-10: 0521143470
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ismail, Mourad E. H.
Hersteller: Cambridge University Press
Maße: 234 x 156 x 39 mm
Von/Mit: Mourad E. H. Ismail
Erscheinungsdatum: 23.07.2009
Gewicht: 1,083 kg
preigu-id: 109884728
Über den Autor
Mourad E. H. Ismail is Professor of Mathematics at the University of Central Florida.
Inhaltsverzeichnis
Foreword; Preface; 1. Preliminaries; 2. Orthogonal polynomials; 3. Differential equations, Discriminants and electrostatics; 4. Jacobi polynomials; 5. Some inverse problems; 6. Discrete orthogonal polynomials; 7. Zeros and inequalities; 8. Polynomials orthogonal on the unit circle; 9. Linearization, connections and integral representations; 10. The Sheffer classification; 11. q-series Preliminaries; 12. q-Summation theorems; 13. Some q-Orthogonal polynomials; 14. Exponential and q-bessel functions; 15. The Askey-Wilson polynomials; 16. The Askey-Wilson operators; 17. q-Hermite polynomials on the unit circle; 18. Discrete q-orthogonal polynomials; 19. Fractional and q-fractional calculus; 20. Polynomial solutions to functional equations; 21. Some indeterminate moment problems; 22. The Riemann-Hilbert problem for orthogonal polynomials; 23. Multiple orthogonal polynomials; 24. Research problems; Bibliography; Index; Author index.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 726
ISBN-13: 9780521143479
ISBN-10: 0521143470
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ismail, Mourad E. H.
Hersteller: Cambridge University Press
Maße: 234 x 156 x 39 mm
Von/Mit: Mourad E. H. Ismail
Erscheinungsdatum: 23.07.2009
Gewicht: 1,083 kg
preigu-id: 109884728
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