On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang's Conjecture

zbMath1455.11033arXiv1604.06659MaRDI QIDQ4965330

Julius Fergy T. Rabago

Publication date: 1 March 2021

Full work available at URL: https://arxiv.org/abs/1604.06659

zbMATH Keywords

convergenceGolden ratioFibonacci functional equationSroysang's conjectureHoradam functional equation

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Forbidden Set of the Rational Difference Equation $x_{n+1} = x_n x_{n-k}/(ax_{n-k+1} +x_n x_{n-k+1} x_{n-k})$ ⋮ Techniques on solving systems of nonlinear difference equations ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• On Fibonacci functions with Fibonacci numbers
• On the solutions of two special types of Riccati difference equation via Fibonacci numbers
• On an open question concerning product-type difference equations
• On Fibonacci functions with period \(k\)
• ON SECOND-ORDER LINEAR RECURRENT FUNCTIONS WITH PERIOD k AND PROOFS TO TWO CONJECTURES OF SROYSANG
• On Two Nonlinear Difference Equations
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