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

Authors

  • A. M. Samoilenko

Abstract

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 sum.

Published

25.07.2003

Issue

Section

Research articles

How to Cite

Samoilenko, A. M. “On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 7, July 2003, pp. 926-34, https://umj.imath.kiev.ua/index.php/umj/article/view/3968.