Results 71 to 80 of about 1,693 (108)
Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers [PDF]
arXiv, 2018 In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
arxiv
Fourier series of functions involving higher-order ordered Bell polynomials
Open Mathematics, 2017 In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun +3 more
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Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts [PDF]
arXiv, 2018 In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
arxiv
Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers
Annales Mathematicae SilesianaeA new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J. +4 more
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Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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A study on a type of degenerate poly-Dedekind sums
Demonstratio MathematicaDedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui +4 more
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Acta Universitatis Sapientiae: Mathematica, 2016 In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers.
Qi Feng, Shi Xiao-Ting, Liu Fang-Fang
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Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials [PDF]
arXiv, 2019 We show that the Catalan-Schroeder convolution recurrences and their higher order generalizations can be solved using Riordan arrays and the Catalan numbers. We investigate the Hankel transforms of many of the recurrence solutions, and indicate that Somos $4$ sequences often arise.
arxiv
Identities on the k-ary Lyndon words related to a family of zeta functions
, 2016 The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core
The complex pulsating (a1,a2,…,am,c)-Fibonacci sequence
Journal of King Saud University: Science, 2022 Several researchers have looked at pulsating Fibonacci sequences in the last ten years, which are generalizations of the Fibonacci sequence. They verify the closed form of these sequences via mathematical induction. This approach is beautiful, but it can
Prathomjit Khachorncharoenkul +2 more
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