Periodic words connected with the Tribonacci-Lucas numbers
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 2
Abstract
We introduce periodic words that are connected with the Tribonacci-Lucas numbers and investigate their properties.
Authors and Affiliations
G. M. Barabash, Ya. M. Kholyavka, I. V. Tytar
About some problem for entire functions of unbounded index in any direction
In this paper, we select a class of entire functions F(z1,…,zn) such that for any direction (b1,…,bn)∈Cn∖{0} and for every point (z01,…,z0n)∈C the function F(z01+tb1,…,z0n+tbn) is of bounded index as a function in variab...
Bounded l-index and l-M-index and compositions of analytic functions
We partially proved a conjecture from Mat. Stud. 47 (2017), no.2, 207--210: for an entire function f the function H(z)=f(1/(1−z)n), n∈N, is of bounded l-index in C∖{0} with l(|z|)=β/(1−|z|)n+1, β>1, if and only if f is o...
An extremal problem for volume functionals
We consider the class of ring Q-homeomorphisms with respect to p-modulus in Rn with p>n, and obtain a lower bound for the volume of images of a ball under such mappings. In particular, the following theorem is proved in...
The interaction of the asymmetrical screw flows for the Bryan-Pidduck model
Some approximate solutions of the Boltzmann equation for a model of rough spheres are constructed. Several sufficient conditions which minimize the uniform-integral error between parts of the Bryan-Pidduck equation are o...
Entire curves having bounded l-index in ℓ∞
In this paper we propose an approach to introduce a concept of bounded index in an infinite-dimensional space. Our object of investigation is the space ℓ∞ equipped with the norm ∥x∥∞=sup{|xn|:n∈N}. We consider entire cur...