As x→1-,
Suggested 2022-02-08 by Mark Ashbaugh
where γ is Euler’s constant (§5.2(ii)). In the next three relations ℜμ>0.
The behavior of Pνμ(x) and Qνμ(x) as x→-1+ follows from the above results and the connection formulas (14.9.8) and (14.9.10).
Suggested 2022-02-09 by Mark Ashbaugh