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Vieta–Fibonacci-like polynomials and some identities

Sriprad, Wanna and Srisawat, Somnuk and Naklor, Peesiri (2021) Vieta–Fibonacci-like polynomials and some identities. Annales Mathematicae et Informaticae, 54. pp. 97-108. ISSN 1787-6117

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Abstract

In this paper, we introduce a new type of the Vieta polynomial, which is Vieta–Fibonacci-like polynomial. After that, we establish the Binet formula, the generating function, the well-known identities, and the sum formula of this polynomial. Finally, we present the relationship between this polynomial and the previous well-known Vieta polynomials.

Item Type: Article
Uncontrolled Keywords: Vieta–Fibonacci polynomial, Vieta–Lucas polynomial, Vieta–Fibonacci-like polynomial
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Tibor Gál
Date Deposited: 03 Jan 2022 14:10
Last Modified: 03 Apr 2023 07:32
URI: http://real.mtak.hu/id/eprint/135375

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