Results 21 to 30 of about 7,865 (225)
On the derivatives of bivariate Fibonacci polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2018 In this study, the new algebraic properties related to bivariate Fibonacci polynomials has been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the r-th partial derivative sequence of bivariate Fibonacci polynomials.
KARADUMAN, Erdal, Cakmak, Tuba
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Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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Generalized Fibonacci Polynomials [PDF]
Turkish Journal of Analysis and Number Theory, 2016 In this study, we present generalized Fibonacci polynomials. We have used their Binet’s formula and generating function to derive the identities. The proofs of the main theorems are based on special functions, simple algebra and give several interesting properties involving them.
Bijendra Singh +2 more
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Irreducibility of generalized Fibonacci polynomials
, 2022 Two ...
Florez, Rigoberto, Saunders, J. C.
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Some Algebraic Aspects of MorseCode Sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci
Johann Cigler
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Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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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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Some identities involving the bi-periodic Fibonacci and Lucas polynomials
AIMS Mathematics, 2023 In this paper, by using generating functions for the Chebyshev polynomials, we have obtained the convolution formulas involving the bi-periodic Fibonacci and Lucas polynomials.
Tingting Du, Zhengang Wu
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Indian Journal of Pure and Applied Mathematics, 2023 In this paper, by the help the F-vacuum operator, we define the harmonic Fibonacci polynomials and harmonic based F-exponential generating function. The harmonic based F-exponential generating function is obtained for the Bernoulli-F polynomials, the Euler-Fibonacci numbers, the Euler-Fibonacci polynomials and the Bernoulli-Fibonacci numbers, and their
TUĞLU, NAİM +2 more
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Inversion Polynomials for Permutations Avoiding Consecutive Patterns [PDF]
, 2014 In 2012, Sagan and Savage introduced the notion of $st$-Wilf equivalence for a statistic $st$ and for sets of permutations that avoid particular permutation patterns which can be extended to generalized permutation patterns.
Cameron, Naiomi, Killpatrick, Kendra
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