We show that a polynomial mapping of the type (x!F[x+f(a(x)+b(y))]; y!G[y+g(c(x)+d(y))]), where (a; b; c; d; f; g; F;G) are polynomials with non-zero Jacobian is a composition of no more than 3 linear or triangular ...

In this paper, we construct Szeg˝o and Poisson kernels in convex domains in Cn and study their properties

In this article, modified Adomian decomposition method is successfully applies to find the approximate so- lutions of Volterra-Fredholm integro-differential equations. Moreover, we prove the existence and unique- ness ...

We obtain exact estimates of the growth and the Taylor coefficients of analytic functions from the Privalov classes in the unit disk. Also we describe coefficient multipliers from the Privalov classes into the Hardy classes.

In the paper a dynamic model of self-assembly of nanoparticles under laser field is proposed for research the possibility of a step-by-step assembly of a structure consisting of three particles with different form. The ...

Functions of two variables can be obtained from functions of one variable by substitutions and additions. Each composition scheme corresponds to a class of functions of two variables, such that they can be represented ...

The problem of construction of optimal quadrature formulas in the sense of Sard in the space L(m) 2 (0; 1) is considered in the paper . The quadrature sum consists of values of the integrand at internal nodes and values ...

Standard models of ionospheric delays have errors of order 1–8 TECU (standard total electron content units). On the basis of the free interpolation framework we propose a new simple model of the slant TEC distributions ...

The features of atomic structure of Al₁₋ ₓScₓNin the whole Sc concentration were studied using ab initio DFT approach. The possible segregation of AlN and ScN phases in a solid solution was investigated and results were ...

In this article we study multiplicative meromorphic functions and differentials on Riemann surfaces of finite type. We proved an analogue of P. Appell’s formula on decomposition of multiplicative functions with poles of ...