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 99
- Downloads 0
An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations
The main result establishes that a weak solution of degenerate nonlinear elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.
Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
In this paper, we obtain existence results of periodic solutions of hamiltonian systems in the Orlicz-Sobolev space W1LΦ([0,T]). We employ the direct method of calculus of variations and we consider a potential functio...
Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
In this paper we obtain a condition for analytic square integrable functions f, g which guarantees the boundedness of products of the Toeplitz operators TfTg densely defined on the Bergman space in the polydisk. An analo...
Some new inequalities of Hermite–Hadamard type for GA-convex functions
Some new inequalities of Hermite–Hadamard type for GA-convex functions defined on positive intervals are given. Refinements and weighted version of known inequalities are provided. Some applications for special means are...
A spatial individual-based contact model with age structure
The Markov dynamics of an infinite continuum birth-and-death system of point particles with age is studied. Each particle is characterized by its location x∈Rd and age ax≥0. The birth and death rates of a particle are ag...