Results 11 to 20 of about 7,195 (140)
On quaternion-Gaussian Fibonacci polynomials
Miskolc Mathematical Notes, 2023 Summary: In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials. We also investigate some properties of these quaternion polynomials.
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Fibonacci self-reciprocal polynomials and Fibonacci permutation polynomials
, 2017 20 pages, a section on self-reciprocal polynomials added, the first moment and second moment (q even) of Fibonacci polynomials ...
Fernando, Neranga, Rashid, Mohammad
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On Generalized Fibonacci Polynomials: Horadam Polynomials
Earthline Journal of Mathematical Sciences, 2022 In this paper, we investigate the generalized Fibonacci (Horadam) polynomials and we deal with, in detail, two special cases which we call them $(r,s)$-Fibonacci and $(r,s)$-Lucas polynomials. We present Binet's formulas, generating functions, Simson's formulas, and the summation formulas for these polynomial sequences.
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Turkish Journal of Mathematics and Computer Science, 2023 In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol ...
Elif GÜLAL, Naim TUGLU
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Pure and Applied Mathematics QuarterlyThe Fibonacci polynomials $\big\{F_n(x)\big\}_{n\ge 0}$ have been studied in multiple ways. In this paper we study them by means of the theory of Heaps of Viennot. In this setting our polynomials form a basis $\big\{P_n(x)\big\}_{n\ge 0}$ with $P_n(x)$ monic of degree $n$. This given, we are forced to set $P_n(x)=F_{n+1}(x)$.
Garsia, A., Ganzberger, G.
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On Fourier integral transforms for $q$-Fibonacci and $q$-Lucas polynomials
, 2012 We study in detail two families of $q$-Fibonacci polynomials and $q$-Lucas polynomials, which are defined by non-conventional three-term recurrences.
Andrews G E +18 more
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Indian Journal of Pure and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TUĞLU, NAİM +2 more
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Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture
, 2012 We relate the construction of a complete set of cyclic mutually unbiased bases, i. e., mutually unbiased bases generated by a single unitary operator, in power-of-two dimensions to the problem of finding a symmetric matrix over F_2 with an irreducible ...
Bosch S. +7 more
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On Convolved Generalized Fibonacci and Lucas Polynomials [PDF]
, 2013 We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials.
Ramírez, José L.
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and theirrth derivatives. We get the formulas for therth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.
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