User contributions
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- 00:11, 30 May 2017 (diff | hist) . . (0) . . Paper:Daniel S. Moak/The q-gamma function for q greater than 1
- 00:07, 30 May 2017 (diff | hist) . . (+8) . . Q-Gamma
- 00:01, 30 May 2017 (diff | hist) . . (+95) . . Q-Gamma (→References)
- 00:00, 30 May 2017 (diff | hist) . . (+6) . . Paper:Daniel S. Moak/The q-gamma function for q greater than 1 (→Contents)
- 00:00, 30 May 2017 (diff | hist) . . (+11) . . Paper:Daniel S. Moak/The q-gamma function for q greater than 1 (→Contents)
- 23:58, 29 May 2017 (diff | hist) . . (+280) . . N Paper:Daniel S. Moak/The q-gamma function for q greater than 1 (Created page with "{{Book|The q-gamma function for q greater than 1|1980|Aequationes Mathematicae||Daniel S. Moak|}} ===Online copies=== [http://gdz.sub.uni-goettingen.de/en/dms/loader/img/?PID...")
- 22:33, 25 May 2017 (diff | hist) . . (+44) . . Paper:John H. Halton/On a General Fibonacci Identity (current)
- 22:33, 25 May 2017 (diff | hist) . . (+106) . . F(-n)=(-1)^(n+1)F(n) (current)
- 22:32, 25 May 2017 (diff | hist) . . (+122) . . Binet's formula (current)
- 22:31, 25 May 2017 (diff | hist) . . (+9) . . Fibonacci numbers (→References)
- 22:05, 25 May 2017 (diff | hist) . . (+85) . . Fibonacci numbers
- 22:04, 25 May 2017 (diff | hist) . . (0) . . m Paper:John H. Halton/On a General Fibonacci Identity (Tom moved page John H. Halton/On a General Fibonacci Identity to Paper:John H. Halton/On a General Fibonacci Identity)
- 22:03, 25 May 2017 (diff | hist) . . (+254) . . N Paper:John H. Halton/On a General Fibonacci Identity (Created page with "{{Book|On a General Fibonacci Identity|1965|The Fibonacci Quarterly||John H. Halton}} ===Online copies=== [http://www.fq.math.ca/Scanned/3-1/halton.pdf hosted by the Fibonacc...")
- 00:57, 25 May 2017 (diff | hist) . . (+10) . . Lucas numbers (current)
- 00:55, 25 May 2017 (diff | hist) . . (+226) . . Lucas numbers (→Properties)
- 00:53, 25 May 2017 (diff | hist) . . (+2) . . Reciprocal Fibonacci constant
- 00:53, 25 May 2017 (diff | hist) . . (+1) . . Limit of quotient of consecutive Fibonacci numbers
- 00:52, 25 May 2017 (diff | hist) . . (+1) . . Catalan's identity (current)
- 00:52, 25 May 2017 (diff | hist) . . (0) . . m Catalan's identity (Tom moved page Catalan's identity for the Fibonacci sequence to Catalan's identity)
- 00:52, 25 May 2017 (diff | hist) . . (+32) . . N Catalan's identity for the Fibonacci sequence (Tom moved page Catalan's identity for the Fibonacci sequence to Catalan's identity) (current)
- 00:51, 25 May 2017 (diff | hist) . . (+235) . . Fibonacci numbers (→Properties)
- 00:41, 25 May 2017 (diff | hist) . . (+423) . . Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I (→Contents) (current)
- 00:39, 25 May 2017 (diff | hist) . . (+342) . . N L(-n)=(-1)^nL(n) (Created page with "==Theorem== The following formula holds: $$L(-n)=(-1)^{n}L(n),$$ where $L(n)$ denotes the $n$th Lucas number. ==Proof== ==References== * {{PaperReference|A...") (current)
- 00:38, 25 May 2017 (diff | hist) . . (+363) . . N F(-n)=(-1)^(n+1)F(n) (Created page with "==Theorem== The following formula holds: $$F(-n)=(-1)^{n+1}F(n),$$ where $F(n)$ denotes the $n$th Fibonacci number. ==Proof== ==References== * {{PaperR...")
- 00:37, 25 May 2017 (diff | hist) . . (+437) . . N L(n)^2-5F(n)^2=4(-1)^n (Created page with "==Theorem== The following formula holds: $$L(n)^2-5F(n)^2=4(-1)^n,$$ where $L(n)$ denotes the $n$th Lucas number and $F(n)$ denotes the $n$th Fibonacci num...") (current)
- 00:35, 25 May 2017 (diff | hist) . . (+169) . . Sum of squares of Fibonacci numbers (current)
- 00:33, 25 May 2017 (diff | hist) . . (+402) . . N F(n+m+1)=F(n+1)F(m+1)+F(n)F(m) (Created page with "==Theorem== The following formula holds: $$F(n+m+1)=F(n+1)F(m+1)+F(n)F(m),$$ where $F(n)$ denotes a Fibonacci number. ==Proof== ==References== * {{Pape...") (current)
- 00:32, 25 May 2017 (diff | hist) . . (+417) . . N F(2n)=F(n)L(n) (Created page with "==Theorem== The following formula holds: $$F(2n)=F(n)L(n),$$ where $F(n)$ denotes a Fibonacci number and $L(n)$ denotes a Lucas number....") (current)
- 00:30, 25 May 2017 (diff | hist) . . (+358) . . N F(2n)=F(n+1)^2-F(n-1)^2 (Created page with "==Theorem== The following formula holds: $$F(2n)=F(n+1)^2-F(n-1)^2,$$ where $F(n)$ denotes a Fibonacci number. ==Proof== ==References== * {{PaperRefere...") (current)
- 00:29, 25 May 2017 (diff | hist) . . (+23) . . F(2n+1)=F(n+1)^2+F(n)^2 (current)
- 00:29, 25 May 2017 (diff | hist) . . (+339) . . N F(2n+1)=F(n+1)^2+F(n)^2 (Created page with "==Theorem== The following formula holds: $$F(2n+1)=F(n+1)^2+F(n)^2,$$ where $F(n)$ denotes a Fibonacci number. ==Proof== ==References== * {{PaperRefere...")
- 00:28, 25 May 2017 (diff | hist) . . (+17) . . L(n)=F(n+1)+F(n-1) (current)
- 00:26, 25 May 2017 (diff | hist) . . (+29) . . Lucas numbers
- 00:26, 25 May 2017 (diff | hist) . . (+405) . . N L(n)=F(n+1)+F(n-1) (Created page with "==Theorem== The following formula holds: $$L(n)=F(n+1)+F(n-1),$$ where $L(n)$ denotes a Lucas number and $F(n)$ denotes a Fibonacci numbers|Fibonacci numbe...")
- 00:25, 25 May 2017 (diff | hist) . . (+12) . . L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1) (current)
- 00:24, 25 May 2017 (diff | hist) . . (+29) . . Fibonacci numbers (→Properties)
- 00:23, 25 May 2017 (diff | hist) . . (+14) . . L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1)
- 00:22, 25 May 2017 (diff | hist) . . (+339) . . N L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1) (Created page with "==Theorem== The following formula holds: $$L(n+1)L(n-1)-L(n)^2=5(-1)^{n+1},$$ where $L(n)$ denotes a Lucas number. ==Proof== ==References== * {{PaperReference|A Primer o...")
- 00:21, 25 May 2017 (diff | hist) . . (+25) . . F(n+1)F(n-1)-F(n)^2=(-1)^n (current)
- 00:20, 25 May 2017 (diff | hist) . . (+332) . . N F(n+1)F(n-1)-F(n)^2=(-1)^n (Created page with "==Theorem== The following formula holds: $$F(n+1)F(n-1)-F(n)^2=(-1)^n,$$ where $F(n)$ denotes a Fibonacci number. ==Proof== ==References== * {{PaperReference|A Primer on...")
- 00:19, 25 May 2017 (diff | hist) . . (+20) . . Sum of Lucas numbers (current)
- 00:18, 25 May 2017 (diff | hist) . . (+37) . . Fibonacci numbers (→Properties)
- 00:17, 25 May 2017 (diff | hist) . . (+45) . . Lucas numbers
- 00:17, 25 May 2017 (diff | hist) . . (+369) . . N Sum of Lucas numbers (Created page with "==Theorem== The following formula holds: $$\displaystyle\sum_{k=1}^n L(k) = L(n+2)-3,$$ where $L(k)$ denotes the $k$th Lucas number. ==Proof== ==References...")
- 00:15, 25 May 2017 (diff | hist) . . (+151) . . Sum of Fibonacci numbers (current)
- 00:11, 25 May 2017 (diff | hist) . . (+89) . . Fibonacci numbers
- 00:10, 25 May 2017 (diff | hist) . . (+459) . . N Lucas numbers (Created page with "The Lucas numbers, $L \colon \mathbb{Z} \rightarrow \mathbb{Z}$, is the solution to the following initial value problem: $$L(n+2)=L(n)+L(n+1), \quad L(0)=2, L(1)=1.$$ =See al...")
- 00:02, 25 May 2017 (diff | hist) . . (+7) . . Fibonacci numbers (→References)
- 00:01, 25 May 2017 (diff | hist) . . (+118) . . Fibonacci numbers
- 00:00, 25 May 2017 (diff | hist) . . (+29) . . Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I
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