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Informationen zum Autor Mourad E. H. Ismail is Professor of Mathematics at the University of Central Florida. Klappentext The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Zusammenfassung The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Thoroughly updated and corrected since its original printing! this authoritative reference continues to be valued not only by mathematicians! but also a wide range of scientists and engineers. 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.
