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On a theorem of Hadamard

V. Vavilov

Lomonosov Moscow State University



Abstract: Classical results of Cauchy, Hadamard and Fabri on disks of holomorphicity and meromorphicity of power series have become the ground for a rich analytic theory of the rows of Padé tables. This talk is a survey of the main results in this field, including reminiscences of some interesting discussions carried out during the development of this theory.

Language: English


© Steklov Math. Inst. of RAS, 2026