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Let $f(x)$ be a function satisfying the functional equation
c_1(x)f(x)^2 + c_2(x) f(x) + c_3(x) f(x-1) + c_4(x) f(x+1) = 0,
where $c_1, \ldots, c_4$ are known functions. What can be said about $f$?
Required, but never shown
9 days ago