A. Kutsenko

activity

20052026

most citedAnalytical formulation of 3D dynamic homogenization for periodic elastic systems

131 citations · 330 across the 50 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.OA2019

Classification of integro-differential $C^{*}$ -algebras

Anton A. Kutsenko

The integro-differential algebra $F_{N, M}$ is the $C^{*}$ -algebra generated by the following operators acting on $L^{2} ([0, 1)^{N} \to C^{M})$ : 1) operators of multiplicati…

math.CV2019

An entire function connected with the approximation of the golden ratio

Anton A. Kutsenko

In 1987, R. B. Paris uses the analytic function \[\label{main} g(w)=\lim_{n\to\infty}(2φ)^n\biggl(\underbrace{\sqrt{1+\sqrt{1+...\sqrt{1+w}}}}_n-φ\biggr),\ \ \ φ=\frac{1+\sqrt{5}}2…

math.CA2019

Viète's fractal distributions and their momenta

A. A. Kutsenko

Solutions of Schröder-Poincaré's polynomial equations $f (a z) = P (f (z))$ usually do not admit a simple closed-form representation in terms of known standard functions. We show that th…

Classification of integro-differential C∗-algebras

An entire function connected with the approximation of the golden ratio

Viète's fractal distributions and their momenta

Classification of integro-differential $C^{*}$ -algebras