As , with ,
Further coefficients can be found with the Maple program SWF7; see §30.18(i).
As , with if is even, or if is odd, we have
Further coefficients can be found with the Maple program SWF8; see §30.18(i).
The asymptotic behavior of and as in descending powers of is derived in Meixner (1944). The cases of large , and of large and large , are studied in Abramowitz (1949). The asymptotic behavior of and as is given in Erdélyi et al. (1955, p. 151). The behavior of for complex and large is investigated in Hunter and Guerrieri (1982).