Results 31 to 40 of about 1,083 (122)
On the power sum problem of Lucas polynomials and its divisible property
Open Mathematics, 2018 The main purpose of this paper is to use the mathematical induction and the properties of Lucas polynomials to study the power sum problem of Lucas polynomials. In the end, we obtain an interesting divisible property.
Xiao Wang
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A Note on Two Fundamental Recursive Sequences
Annales Mathematicae Silesianae, 2021 In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
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On the norms of an r-circulant matrix with the generalized k-Horadam numbers
, 2013 In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix H=Cr(Hk,0,Hk,1,Hk,2,…,Hk,n−1) whose entries are the generalized k-Horadam numbers.
Y. Yazlık, N. Taskara
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Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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Some identities on conditional sequences by using matrix method
, 2017 In this paper, we consider the Fibonacci conditional sequence ffng and the Lucas conditional sequence flng. We derive some properties of Fibonacci and Lucas conditional sequences by using the matrix method.
E. Tan, A. Ekin
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Several identities involving the Fibonacci polynomials and Lucas polynomials
Journal of Inequalities and Applications, 2013 In this paper, the authors consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to the reciprocals of these sums, the authors obtain several new identities involving the ...
Zhengang Wu, Wenpeng Zhang
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On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers
Discussiones Mathematicae - General Algebra and Applications, 2020 In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.
Dutta Utkal Keshari, Ray Prasanta Kumar
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On the norms of r-circulant matrices with the hyper-Fibonacci and Lucas numbers
, 2014 In this paper, we study norms of circulant matrices F = Circ(F 0 , F (k) 1 , . . . ,F (k) n−1) , L = Circ(L 0 , L (k) 1 , . . . ,L (k) n−1) and r -circulant matrices Fr = Circr(F (k) 0 , F (k) 1 , . . . ,F (k) n−1) , Lr = Circr(L 0 , L (k) 1 , . . .
M. Bahşı, Süleyman Solak
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A New Proof and Consequences of the Fixed Point Theorem of Matkowski
Annales Mathematicae Silesianae, 2021 In this work it was proved Matkowski’s fixed point theorem. The consequences of this theorem are also presented.
Barcz Eugeniusz
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On the reciprocal sums of square of generalized bi-periodic Fibonacci numbers
, 2018 Recently Basbük and Yazlik [1] proved identities related to the reciprocal sum of generalized bi-periodic Fibonacci numbers starting from 0 and 1, and raised an open question whether we can obtain similar results for the reciprocal sum of mth power (m 2)
Ginkyu Choi, Y. Choo
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