T. M. DunsterDepartment of Mathematics and Statistics,
San Diego State University,
San Diego, California.
This chapter is based in part on
Abramowitz and Stegun (1964, Chapter 8) by Irene A. Stegun. The author is indebted to
Richard Paris for correcting a long-standing error in Eq. (14.18.3)
in previous literature.
The main reference used in writing this chapter is Olver (1997b). For
additional bibliographic reading see Erdélyi et al. (1953a, Chapter III),
Hobson (1931), Jeffreys and Jeffreys (1956), MacRobert (1967),
Magnus et al. (1966), Robin (1957, 1958, 1959),
Snow (1952), Szegő (1967),
Temme (1996b), and Wong (1989).