Ecuatie functionala

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Roxana Rosca
Posts: 1
Joined: Sat Feb 28, 2009 10:02 pm
Location: Tirgu-Mures

Ecuatie functionala

Post by Roxana Rosca »

Sa se determine functiile \( f :N*\rightarrow(0,\infty) \) pentru care avem
\( f(1)f(2)...f(k-1)+f(2)f(3)...f(k)+f(3)f(4)...f(k+1)+...+f(n+1)f(n+2)...f(n+k-1)=f(n+1)f(n+2)...f(n+k) \), \( \forall n \in N \), unde \( k\ge 1 \) este fixat.

M. O. Drimbe
We walk through life like sun through day. We come and go, but it's our work the one that will remain and that will inspire future generations.
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