Two-dimensional generalization of the Thron–Jones theorem on the parabolic domains of convergence of continued fractions

• Date: 2022
• Main Authors: Bilanyk, I. B., Bodnar, D. I., Біланик, І. Б., Боднар, Д. І., Боднар, Дмитрий
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7096
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 For branched continued fractions of а special form (branched continued  fractions with independent variables with fixed values of the variables), the notion of $ \mathcal{C} $-figure convergence was introduced and used to establish a two-dimensional generalization of the...