Richard Beals, Roderick Wong

Special Functions and Orthogonal Polynomials

• Gebundenes Buch

Produktbeschreibung

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 488
• Erscheinungstermin: 28. November 2016
• Englisch
• Abmessung: 235mm x 157mm x 33mm
• Gewicht: 938g
• ISBN-13: 9781107106987
• ISBN-10: 1107106982
• Artikelnr.: 44467677

Autorenporträt

Richard Beals is a former Professor of Mathematics at the University of Chicago and Yale University. He is the author or co-author of books on mathematical analysis, linear operators and inverse scattering theory, and has authored more than 100 research papers in areas including partial differential equations, mathematical economics and mathematical psychology.

Inhaltsangabe

1. Orientation
2. Gamma, beta, zeta
3. Second-order differential equations
4. Orthogonal polynomials on an interval
5. The classical orthogonal polynomials
6. Semiclassical orthogonal polynomials
7. Asymptotics of orthogonal polynomials: two methods
8. Confluent hypergeometric functions
9. Cylinder functions
10. Hypergeometric functions
11. Spherical functions
12. Generalized hypergeometric functions
G-functions
13. Asymptotics
14. Elliptic functions
15. Painlevé transcendents
Appendix A. Complex analysis
Appendix B. Fourier analysis
References
Index.