GENERALIZED FIBONACCI AND LUCAS POLYNOMIALS AND RELATED IDENTITIES

M. Tariq Rahim; Laiba Hameed; Maqsood A. Khan

GENERALIZED FIBONACCI AND LUCAS POLYNOMIALS AND RELATED IDENTITIES

Authors

M. Tariq Rahim
Laiba Hameed
Maqsood A. Khan

Keywords:

Modified Fibonacci polynomials, Lucas polynomials, Binet formula, generating function, summation identities, integral identities.

Abstract

In this paper, we present new recurrence relations for a class of generalized Fibonacci polynomials and Lucas polynomial. We compute various properties for the sum of modified Generalized Fibonacci Polynomials. We present a number of formulas for the sum of these polynomials. Further, we investigate identities such as hypergeometric and integration for generalized Fibonacci polynomials.

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Published

2026-03-31

How to Cite

M. Tariq Rahim, Laiba Hameed, & Maqsood A. Khan. (2026). GENERALIZED FIBONACCI AND LUCAS POLYNOMIALS AND RELATED IDENTITIES. Spectrum of Engineering Sciences, 4(3), 7625–7637. Retrieved from https://www.thesesjournal.com/index.php/1/article/view/4000