On generalized Mersenne numbers, their interpretations and matrix generators
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 1
Abstract
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.
Authors and Affiliations
Paweł Ochalik, Andrzej Włoch
Keywords
Related Articles
- EP ID EP530474
- DOI 10.17951/a.2018.72.1.69
- Views 100
- Downloads 0
The density Turan problem for 3-uniform linear hypertrees. An efficient testing algorithm
Let T = (V, E) be a 3-uniform linear hypertree. We consider a blow-up hypergraph B[T ]. We are interested in the following problem. We have to decide whether there exists a blow-up hypergraph B[T ] of the hypertree T , w...
The constructions of general connections on the fibred product of q copies of the first jet prolongation
We describe all natural operators A transforming general connections Gamma on fibred manifolds Y -> M and torsion-free classical linear connections Gamma on M into general connections A(Gamma, Lambda) on the fibred produ...
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s, p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s ide...
Some properties for α-starlike functions with respect to k-symmetric points of complex order
In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relat...
Generalized trend constants of Lipschitz mappings
In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point...