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

• Autorzy: Sandra Pinelas , G. B. A. Xavier , S. U. Vasantha Kumar , M. Meganathan
• Języki publikacji: EN

Abstrakty

EN

The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform is not available in the continuous case. The LFt generates uncountably many outcomes when the parameter t varies on (0,∞). This possibility is not available in the existing Laplace transform. All the formulae and results derived are verified by MATLAB.

Słowa kluczowe

EN

Generalized difference operator; Two dimensional Fibonacci sequence; Closed form solution; Fibonacci summation formula; Laplace-Fibonacci Transform MSC: 39A70; 39A10; 44A10; 47B39; 65J10; 65Q10

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 22-30

Daty

wydano

2017-08-28

otrzymano

2016-06-29

zaakceptowano

2017-04-24

online

2017-09-02

Twórcy

autor

Sandra Pinelas

• ,

autor

G. B. A. Xavier

• , S.

autor

S. U. Vasantha Kumar

• , S.

autor

M. Meganathan

• , S.

Identyfikatory

DOI

10.1515/msds-2017-0003