On generalized Fibonacci polynomials and Bernoulli numbers.
Zhang, Tianping, Ma, Yuankui (2005)
Journal of Integer Sequences [electronic only]
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Zhang, Tianping, Ma, Yuankui (2005)
Journal of Integer Sequences [electronic only]
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Belbachir, Hacène, Bencherif, Farid (2008)
Journal of Integer Sequences [electronic only]
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Prodinger, Helmut (2009)
Journal of Integer Sequences [electronic only]
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Berriochoa, E., Cachafeiro, A., Garcia-Amor, J.M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
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Ewa Krot (2004)
Open Mathematics
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This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].
Cigler, Johann (2003)
The Electronic Journal of Combinatorics [electronic only]
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Amdeberhan, Tewodros (2010)
Integers
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Roman Wituła, Damian Słota (2006)
Open Mathematics
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In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.
Grabner, Peter J., Prodinger, Helmut (2002)
Portugaliae Mathematica. Nova Série
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Udrea, Gheorghe (1996)
Portugaliae Mathematica
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Simeonov, Plamen (2003)
Abstract and Applied Analysis
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Mihoubi, Miloud, Maamra, Mohammed Said (2011)
Journal of Integer Sequences [electronic only]
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