Laplace-Fibonacci transform by the solution of second order generalized difference equation

DOI10.1515/msds-2017-0003zbMath1377.39033OpenAlexW2752931052MaRDI QIDQ1678972

Peng Zhang

Publication date: 8 November 2017

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2017-0003

zbMATH Keywords

closed form solutiongeneralized difference operatorFibonacci summation formulaLaplace-Fibonacci transformsecond-order generalized difference equationtwo dimensional Fibonacci sequence

Mathematics Subject Classification ID

Laplace transform (44A10) Additive difference equations (39A10) Difference operators (39A70) Linear difference operators (47B39)

Related Items (1)

Matrix Laplace transform

Uses Software

• Matlab

Cites Work

• Discrete-time fractional variational problems
• On a problem of Pillai with Fibonacci numbers and powers of 2
• On the Fibonacci \(k\)-numbers
• Fractional h-difference equations arising from the calculus of variations
• ON THE OSCILLATION OF SOLUTIONS OF CERTAIN DIFFERENCE EQUATIONS
• A Note on Prime Fibonacci Sequences
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