Numerical Methods for Special Functions - Gil, Amparo

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Résumé :
Provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well.

Biographie:
Amparo Gil is an Associate Professor of Applied Mathematics at the Universidad de Cantabria in Spain.

Sommaire:
List of algorithms; Preface; 1. Introduction; Part I. Basic Methods: 2. Convergent and divergent series; 3. Chebyshev expansions; 4. Recurrence relations and continued fractions; 5. Quadrature methods; Part II. Further Tools and Methods: 6. Continued fractions; 7. Computation of the zeros of special functions; 8. Uniform asymptotic expansions; 9. Other methods; Part III. Related Topics and Examples: 10. Inversion of distribution functions; 11. Further examples; Part IV. Software: 12. Associated algorithms; Bibliography; Index.