where
(14.11.1) holds if Pνμ(x) is replaced by Pνμ(x), provided that the factor ((1+x)/(1-x))μ/2 in (14.11.3) is replaced by ((x+1)/(x-1))μ/2. (14.11.4) holds if Pνμ(x), Pν(x), and Qν(x) are replaced by Pνμ(x), Pν(x), and Qν(x), respectively.
See also Szmytkowski (2006, 2009, 2011, 2012), Cohl (2010, 2011) and Magnus et al. (1966, pp. 177–178).