On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum

• Дата: 2003
• Автори: Samoilenko, A. M., Самойленко, А. М.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3968
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For one sequence of polynomials arising in the construction of the numerical-analytic method for finding periodic solutions of nonlinear differential equations, we determine the explicit form of the Poisson–Abel sum and the exact solution of the equation for finding the radius of convergence of this...