Difference between revisions of "Paper:David Zeitlin/On Identities for Fibonacci Numbers"
From specialfunctionswiki
(Created page with "{{Book|On Identities for Fibonacci Numbers|1963|The American Mathematical Monthly||David Zeitlin}} [[Fibonacci [[Category:Paper]]") |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{Book|On Identities for Fibonacci Numbers|1963|The American Mathematical Monthly||David Zeitlin}} | {{Book|On Identities for Fibonacci Numbers|1963|The American Mathematical Monthly||David Zeitlin}} | ||
| − | [[Fibonacci | + | [[Fibonacci numbers]]<br /> |
| + | [[F(n)F(n+2)-F(n+1)^2=(-1)^(n+1)]]<br /> | ||
| + | [[F(m+h)F(m+k)-F(m)F(m+h+k)=(-1)^mF(h)F(k)]]<br /> | ||
| + | [[F(m)=F(k+1)F(m-k)+F(k)F(m-k-1)]]<br /> | ||
[[Category:Paper]] | [[Category:Paper]] | ||
Latest revision as of 13:12, 1 August 2018
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)
