Advanced fibonacci sequence and its sum by second order variable co-efficient difference operator | Zendy

Rajiniganth Pandurangan | Zendy; Britto Antony Xavier G | Zendy

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Advanced fibonacci sequence and its sum by second order variable co-efficient difference operator

Author(s) -

Rajiniganth Pandurangan,

Britto Antony Xavier G

Publication year - 2021

Publication title -

journal of computational mathematica

Language(s) - English

Resource type - Journals

ISSN - 2456-8686

DOI - 10.26524/cm112

Subject(s) - fibonacci number , operator (biology) , sequence (biology) , mathematics , variable (mathematics) , inverse , order (exchange) , combinatorics , mathematical analysis , geometry , chemistry , biochemistry , finance , repressor , transcription factor , economics , gene

We introduce a second order difference operator with specific powers of variable co-efficient and its inverse in this study, which allows us to derive the (α1tr1, α2tr2 )-Fibonacci sequence and its summation. This series is known as the Fibonacci sequence with variable co-efficients (VCFS). On the sum of the terms of the variable co-efficient Fibonacci sequence, some theorems and intriguing findings are generated. To demonstrate our findings, appropriate instances arepresented.

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