Published in Mathematical Notes
Abstract In this note, we consider asymptotics of the multipoint Padé approximants to Cauchy integrals of analytic nonvanishing densities defined on a Jordan arc connecting \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}...
Published in Mathematical Notes
Abstract Two examples illustrating properties of discrete measures are given. In the first part of the paper, it is proved that, for any probability measure \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odd...
Published in Mathematical Notes
Abstract It is shown that, for any infinite set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M\subset\mathbb N$$\end{document} of density zero, there exists a rigid ...
Published in Mathematical Notes
Published in Mathematical Notes
Abstract The Newton interpretation of the psi function by rational functions with free poles is studied. A discrete formula for the Rodrigues determinants is obtained and the limit distribution of their zeros is found. The corresponding equilibrium problem of the theory of logarithmic potential is obtained.
Published in Mathematical Notes
Published in Mathematical Notes
Abstract An algebra is called a binary Leibniz algebra if each of its two-generated subalgebras is a Leibniz algebra. In the present paper, we give a description of binary Leibniz algebras in terms of identities. As a consequence, we show that the variety of binary Leibniz algebras is not Schreier and that the freedom theorem fails to hold for this...
Published in Mathematical Notes
Published in Mathematical Notes
Abstract Solvability and regularity of the solution of the Dirichlet problem for the Prandtl equation \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{u(x)}{p(x)}-...
Published in Mathematical Notes
