TY - JOUR AU - Cano Torres, José María AU - Sendra Pons, Juan Rafael AU - Falkensteiner, Sebastian PY - 2022 SN - 0747-7171 UR - https://uvadoc.uva.es/handle/10324/64902 AB - Given an autonomous first order algebraic ordinary differential equation , we prove that every formal Puiseux series solution of , expanded around any finite point or at infinity, is convergent. The proof is constructive and we provide an algorithm to... LA - spa PB - Springer KW - Algebraic differential equation Algebraic curve Place Formal Puiseux series solution Convergent solution TI - Existence and convergence of Puiseux series solutions for autonomous first order differential equations DO - 10.1016/j.jsc.2020.06.010 ER -