Results 61 to 70 of about 1,005 (113)
On generating matrices of the k-Pell, k-Pell-Lucas and modified k-Pell sequences
, 2014 In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Pell, k-Pell-Lucas and Modified k-Pell numbers. Mathematics Subject Classification: 11B37, 11B83.
P. Catarino
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Logarithmically complete monotonicity of a function related to the Catalan-Qi function
Acta Universitatis Sapientiae: Mathematica, 2016 In the paper, the authors find necessary and sufficient conditions such that a function related to the Catalan-Qi function, which is an alternative generalization of the Catalan numbers, is logarithmically complete monotonic.
Qi Feng, Guo Bai -Ni
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Irrational numbers associated to sequences without geometric progressions [PDF]
, 2013 Let s and k be integers with s \geq 2 and k \geq 2. Let g_k^{(s)}(n) denote the cardinality of the largest subset of the set {1,2,..., n} that contains no geometric progression of length k whose common ratio is a power of s.
Nathanson, Melvyn B., O'Bryant, Kevin
core
Generalizations of the Bell Numbers and Polynomials and Their Properties
, 2017 In the paper, the authors present unified generalizations for the Bell numbers and polynomials, establish explicit formulas and inversion formulas for these generalizations in terms of the Stirling numbers of the first and second kinds with the help of ...
Feng Qi (祁锋) +3 more
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Modular forms, hypergeometric functions and congruences
, 2013 Using the theory of Stienstra and Beukers, we prove various elementary congruences for the numbers \sum \binom{2i_1}{i_1}^2\binom{2i_2}{i_2}^2...\binom{2i_k}{i_k}^2, where k,n \in N, and the summation is over the integers i_1, i_2, ...i_k >= 0 such that ...
Kazalicki, M.
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The log-convexity of the poly-Cauchy numbers
, 2016 In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy numbers. Several generalizations of poly-Cauchy numbers have been considered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao, Zhao, Feng-Zhen
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Enumerating the rationals from left to right
, 2010 Farey sequences, Stern-Brocot sequences, the Calkin-Wilf sequences are shown to be generated via almost identical second order recurrence relations.
Glasby, S. P.
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On the number of outer connected dominating sets of graphs
, 2012 Let $G=(V,E)$ be a simple graph. A set $S\subseteq V(G)$ is called an outer-connected dominating set (or ocd-set) of $G$, if $S$ is a dominating set of $G$ and either $S=V(G)$ or $V\backslash S$ is a connected graph.
Akhbari, Mohammad H. +2 more
core
Generalised Binomial coefficients and Jarden's Theorem [PDF]
, 2013 We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functionsComment: A section (section 3) concerning the application of Jarden's Theorem is ...
Cheng Lien, Lang, Mong Lung Lang
core
Demonstratio MathematicaThe study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B. +2 more
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