Paper:David Zeitlin/On Identities for Fibonacci Numbers

David Zeitlin: On Identities for Fibonacci Numbers

Published $1963$, The American Mathematical Monthly.

Fibonacci numbers
F(n)F(n+2)-F(n+1)^2=(-1)^(n+1)
F(m+h)F(m+k)-F(m)F(m+h+k)=(-1)^mF(h)F(k)
F(m)=F(k+1)F(m-k)+F(k)F(m-k-1)