Three-term recurrence for Bateman F
From specialfunctionswiki
Theorem
The following formula holds: $$n^2 F_n(z) = -(2n-1)z F_{n-1}(z)+(n-1)^2 F_{n-2}(z),$$ where $F_n$ denotes the Bateman F.
Proof
References
- 1960: Earl David Rainville: Special Functions ... (previous) ... (next): $148. (3)$
