The author thanks W. Gautschi and C. Brezinski for their
valuable contributions, and F. W. J. Olver for
assisting with the writing of §§3.6,
3.7, 3.8, and 3.11.
Lozier and Olver (1994) gives an overview of the numerical evaluation of
special functions. For more detailed information see
Gil et al. (2007a),
Henrici (1974, 1977, 1986),
Luke (1969a, b), and Trefethen (2011).