Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture.
The Buslaev's and the Lubinsky's counter-examples are discussed in this work. These counter-examples are connected with the Baker-Gammel-Wills conjecture in the theory of the Padé approximation. The author shows that both counter-examples are relevant to the original form of conjecture and associated with bounded \(J\)-matrix. The convergence of diagonal Padé approximants to functions which have bounded \(J\)-matrix is proved.
scientific article; zbMATH DE number 2032601
scientific article