9 citations · 12 across the 6 of their papers we have counts for
6 papers
Discrete orthogonal polynomials as a tool for detection of small anomalies of time series: a case study of GPS final orbits
Sergey P. Tsarev, Alexey A. Kytmanov
In this paper, we show that the classical discrete orthogonal univariate polynomials (namely, Hahn polynomials on an equidistant lattice with unit weights) of sufficiently high deg…
Computing Rational Generating Function of a Solution to the Initial Value Problem of Two-dimensional Difference Equation with Constant Coefficients
Alexey A. Kytmanov, Alexander P. Lyapin, Timur M. Sadykov
Algorithms for computing rational generating functions of solutions of one-dimensional difference equations are well-known and easy to implement. We propose an algorithm for comput…
Residue Integrals and Waring's Formulas for a Class of Systems of Transcendental Equations in
Alexey A. Kytmanov, Alexander M. Kytmanov, Evgeniya K. Myshkina
The present article is focused on the study of a special class of systems of nonlinear transcendental equations for which classical algebraic and symbolic methods are inapplicable.…
Series of rational moduli components of stable rank 2 vector bundles on
Alexey Kytmanov, Alexander Tikhomirov, Sergey Tikhomirov
We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker-Maruyama moduli space of rank 2 stable vector bundle…
Algorithmic computation of polynomial amoebas
D. V. Bogdanov, A. A. Kytmanov, T. M. Sadykov
We present algorithms for computation and visualization of amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We als…
Description of an algorithm of construction of an integral representation given toric variety fan
Alexey A Kytmanov
In the present work we give a description a computer algebra algorithm of construction of a toric variety given its fan. The algorithm provides us as well with a construction of an…