Difference between revisions of "Three-term recurrence for Bateman F"
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(Created page with "==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== * {{BookRef...") |
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Latest revision as of 03:06, 22 June 2016
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): $148. (3)$
