Includes bibliographical references (pages 389-404) and index.
Convergent and divergent series -- Chebyshev expansions -- Linear recurrence relations and associated continued fractions -- Quadrature methods -- Numerical aspects of continued fractions -- Computation of the zeros of special functions -- Uniform asymptotic expansions -- Other methods -- Inversion of cumulative distribution functions -- Further examples -- Associated algorithms.
0
This work provides an overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. It considers not only standard and simple parameter domains, but also describes methods valid for large and complex parameters.