A. B. Olde DaalhuisSchool of Mathematics,Edinburgh University,Edinburgh, United Kingdom.
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Acknowledgements:
This chapter is based in part onAbramowitz and Stegun (1964, Chapter 13) by L.J. Slater. The author isindebted to J. Wimp for several references.
Notes:
The main references used in writing this chapter areBuchholz (1969),Erdélyi et al. (1953a),Olver (1997b),Slater (1960), andTemme (1996b). For additionalbibliographic reading seeAndrews et al. (1999),Hochstadt (1971),Luke (1969a,b),Wang and Guo (1989), andWhittaker and Watson (1927).