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.
In this paper, we introduce some new generalizations of the Vieta-Pell polynomial, which is called the Vieta-Pell-Like polynomial. We also give the generating function, the Binet's formula, the sum formula, and some well-known identities for this Vieta polynomial. Furthermore, the relations between the Vieta-Pell-Like polynomial and the previously well-known identities are presented.
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