Classical and Quantum Orthogonal Polynomials in One Variable

 Paperback
ISBN-13:
9780521143479
Veröffentl:
2009
Einband:
Paperback
Erscheinungsdatum:
23.07.2009
Seiten:
726
Autor:
Mourad E. H. Ismail
Gewicht:
1083 g
Format:
234x156x39 mm
Sprache:
Englisch
Beschreibung:

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
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.

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