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==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==
* {{BookReference|Special Functions|1960|Earl David Rainville|prev=Generating relation for Bateman F|next=findme}}: $148. (3)$

[[Category:Theorem]]
[[Category:Unproven]]

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