Open AccessAdvanced fibonacci sequence and its sum by second order variable co-efficient difference operator
Author(s) -
P Rajiniganth,
Britto Antony Xavier G
Publication year - 2021
Publication title -
journal of computational mathematics
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.