On the Generalized $ \overline{\theta({\tt{t}})} $-Fibonacci sequences and its bifurcation analysis

On the Generalized $ \overline{\theta({\tt{t}})} $-Fibonacci sequences and its bifurcation analysis

This paper introduces a general nabla operator of order two that includes coefficients of various trigonometric functions. We also introduce its inverse, which leads us to derive the second-order $ \overline{\theta({\tt{t}})} $-Fibonacci polynomial, sequence, and its summation. Here, we have obtaine...

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Bibliographic Details
Main Authors: Rajiniganth Pandurangan, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:AIMS Mathematics
Subjects:
generalized nabla operator variable coefficients
fibonacci sequence
fibonacci summation
proportional $ \alpha $-derivative
bifurcation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025046
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https://www.aimspress.com/article/doi/10.3934/math.2025046

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