Fibonacci Polynomials and It’s Generalization
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Page Numbers:
112-117
Digital Object Identifier:
10.58578/mjms.v3i1.4810
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Authors:
Nand Kishor Kumar1, Suresh Kumar Sahani2 
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Authors retain copyright and grant the journal right of first publication.
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Abstract
This article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance. We have used their Binet’s formula and generating function to derive the identities.
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References
Vorobyov, NN. (1963). The Fibonacci Numbers. Boston Pergamon: D.C. Health Company.
Waddill, ME, Lovis S. (1967). Another generalized fibonacci sequence. The Fibonacci Quarterly. ;5(3):209-222
Jaiswal, DV. (1969). On a generalized fibonacci sequence, Labdev. Journal of Science and Technology,7(2):67-71
Harne S, Parihar CL. (1984) Generalized fibonacci sequence. Ganit Sandesh (India),8(2):75-80.
Bortner, C. W.& Peterson, A. C. (2016). The History and Applications of Fibonacci Numbers. UCARE Research Products. 2016, 42. (http://digitalcommons.unl.edu/ucareresearch/42)
Dasdan. A. (2018). Twelve Simple Algorithms to Compute Fibonacci Numbers, Arxiv, ,1-33.
Kumar, N. K., et.al. (2024). Mu ̈ntz’s Theorem in 2-inner product spaces and it’s Applications in Economics. Journal of Multi-disciplinary Sciences, Mikailalsys, 2(3), 543-552.
Kumar, N.K. (2022). Relationship between Differential Equations and Difference Equation. Nepal University Teacher's Association Journal, 8(1-2), 88-93. DOI:10.3126/nutaj. V 8i1-2.44122
Kumar, N. K., & Sahani, S. K. (2024). Matrices of Fibonacci Numbers. Mikailalsys Journal of Mathematics and Statistics, 3(1), 71-80. https://doi.org/10.58578/mjms.v3i1.4398
Mauldin, R.D. et al. (1986). Random recursive construction. Trans Am Math Soc.
Singh. P. & Hemachandra. A. (1986). Fibonacci Numbers, Math. Ed. Siwan, 20(1), ,28–30.
Stakhov, A.P. (1989). The golden section in the measurement theory. Comput Math Appl.
Stakhov.A.P. (2005). Generalized principle of the golden section and its applications in mathematics, science and engineering. Chaos, Solitons & Fractals.