Polynomials Associated with Generalized Fibonacci Sequences

Author & Affiliation:
MANJEET SINGH TEETH
IPS Academy, Indore, Madhya Pradesh, India, 452001
GARVITA AGRAWAL
School of Mathematics, D.A.V.V. Indore, Madhya Pradesh, 452001 (India)
Keyword:
Fibonacci number, Fibonacci sequence
Issue Date:
April 2026
Abstract:

In this paper we extend the Fibonacci recurrence relation to define the sequence {Cn} and derive some properties of this sequence. We alsodefine the four comparison sequence {Pn}, {Qn}, {Rn}, {Sn}. We also obtain some identities with the help of generating matrix.

Pages:
47-58
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-B/380402
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Copy the following to cite this article:

M. S. Teeth; G. Agrawal, "Polynomials Associated with Generalized Fibonacci Sequences", Journal of Ultra Scientist of Physical Sciences, Volume 38, Issue 4, Page Number 47-58, 2026

Copy the following to cite this URL:

M. S. Teeth; G. Agrawal, "Polynomials Associated with Generalized Fibonacci Sequences", Journal of Ultra Scientist of Physical Sciences, Volume 38, Issue 4, Page Number 47-58, 2026

Available from: http://ultraphysicalsciences.org/paper/1555/

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