The Power Sums Involving Fibonacci Polynomials and Their Applications
, 2019 The Girard and Waring formula and mathematical induction are used to study a problem involving the sums of powers of Fibonacci polynomials in this paper, and we give it interesting divisible properties.
Xiao Wang, Li Chen
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Some theorems involving powers of generalized Fibonacci numbers at non-equidistant points
, 2007 The paper begins with a brief review of the generalized Fibonacci polynomials, satisfying the recurrence : Gn+2(x) = xG n+1(x) + Gn(x), with arbitrary initial values.
Bruckman, PS, Melham, RS
core
From Random Numbers to Random Objects. [PDF]
Entropy (Basel), 2022 Zolfaghari B, Bibak K, Koshiba T.
europepmc +1 more source
Polynomial Values with Integer Coefficients for the Generating Functions of Fibonacci Polynomials
The Fibonacci QuarterlyFibonacci polynomials are generalizations of Fibonacci numbers, so it is natural to consider polynomial versions of the various results for Fibonacci numbers. According to Hong, Pongsriiam, Bulawa, and Lee, the generating function of the Fibonacci sequence in the domain of rational numbers, $f(t)=t/(1-t-t^2)$, takes an integer value if and only if $t ...
openaire +2 more sources
Generalized apostol-type polynomial matrix and its algebraic properties [PDF]
, 2019 The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν).
Ramírez, William +2 more
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A Discretization Approach for the Nonlinear Fractional Logistic Equation. [PDF]
Entropy (Basel), 2020 Izadi M, Srivastava HM.
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Generalized Golden-Fibonacci Calculus and Applications
, 2018 Bu tezde, Altın-Fibonacci hesaplaması geliştirilmiş ve bu hesaplamanın çeşitli uygulamaları elde edilmiştir. Bu hesaplama, altın polinomları ve bu polinomlar cinsinden yazılan Taylor açılımını tanıtmamıza izin veren, altın ve gümüş oran tabanları ile ...
Özvatan, Merve
core
Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties
We introduce and investigate two new families of special polynomials: the mixed-type Fibonacci-Mittag-Leffler (FML) and Lucas-Mittag-Leffler (LML) polynomials.
Ramírez, William +4 more
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One kind hybrid character sums and their upper bound estimates. [PDF]
J Inequal Appl, 2018 Zhao J, Wang X.
europepmc +1 more source
The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers. [PDF]
J Inequal Appl, 2018 Shi B.
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