Open AccessUniversal centers and composition conditions on the complex plane
Author(s) -
Clàudìa Valls
Publication year - 2021
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2021.01.13
Subject(s) - trigonometry , complex plane , composition (language) , mathematics , plane (geometry) , ordinary differential equation , differential (mechanical device) , pure mathematics , combinatorics , differential equation , mathematical analysis , physics , geometry , thermodynamics , philosophy , linguistics
We characterize the universal centers of the ordinary differential equations in the complex plane $d \rho/d \theta=\sum_{i=1}^\infty a_i(\theta) \rho^{i+1}$, where $a_i(\theta)$ are trigonometric polynomials with complex coefficients, in terms of the composition conditions.