A note on Fibonacci-type polynomials.
Amdeberhan, Tewodros (2010)
Integers
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Displaying similar documents to “On generalized Fibonacci polynomials and Bernoulli numbers.”
A note on Fibonacci-type polynomials.
On sequences of numbers and polynomials defined by linear recurrence relations of order 2.
He, Tian-Xiao, Shiue, Peter J.-S. (2009)
International Journal of Mathematics and Mathematical Sciences
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Extended Fibonacci numbers and polynomials with probability applications.
Antzoulakos, Demetrios L. (2004)
International Journal of Mathematics and Mathematical Sciences
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On some properties of bivariate Fibonacci and Lucas polynomials.
Belbachir, Hacène, Bencherif, Farid (2008)
Journal of Integer Sequences [electronic only]
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In praise of an elementary identity of Euler.
Bhatnagar, Gaurav (2011)
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Connection between ordinary multinomials, Fibonacci numbers, Bell polynomials and discrete uniform distribution.
Belbachir, Hacéne, Bouroubi, Sadek, Khelladi, Abdelkader (2008)
Annales Mathematicae et Informaticae
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Investigating geometric and exponential polynomials with Euler-Seidel matrices.
Dil, Ayhan, Kurt, Veli (2011)
Journal of Integer Sequences [electronic only]
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On the expansion of Fibonacci and Lucas polynomials.
Prodinger, Helmut (2009)
Journal of Integer Sequences [electronic only]
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Riordan arrays, Sheffer sequences and “orthogonal” polynomials.
Della Riccia, Giacomo (2008)
Journal of Integer Sequences [electronic only]
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Binomials transformation formulae for scaled Fibonacci numbers
Edyta Hetmaniok, Bożena Piątek, Roman Wituła (2017)
Open Mathematics
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The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined by Wituła and Słota. The paper contains some original relations connecting the values of delta-Fibonacci numbers with the respective values of Chebyshev polynomials of the first and second kind.
On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
Integers
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Algorithms for Bernoulli and related polynomials.
Dil, Ayhan, Kurt, Veli, Cenkci, Mehmet (2007)
Journal of Integer Sequences [electronic only]
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Generalization of an identity involving the generalized Fibonacci numbers and its applications.
Mohammad Farrokhi, D.G. (2009)
Integers
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