@article{P_G_2021, title={Advanced fibonacci sequence and its sum by second order variable co-efficient difference operator}, volume={5}, url={https://shcpub.in/index.php/cm/article/view/200}, DOI={10.26524/cm112}, abstractNote={<p>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 (α<sub>1</sub>t<sup>r1</sup>, α<sub>2</sub>t<sup>r2</sup> )-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 are<br>presented.</p>}, number={2}, journal={Journal of Computational Mathematica}, author={P, Rajiniganth and G, Britto Antony Xavier}, year={2021}, month={Dec.}, pages={92 - 101} }