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Iskovskikh Seminar
April 2, 2015 18:00, Moscow, Steklov Mathematical Institute, room 540
 


On the representation of algebraic functions by continued $J$-fractions

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences

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Abstract: The problem of representation of analytic functions by continued $J$-fractions is the classical problem analysis. On the talk this problem will be discussed from the contemporary point of view, when $n$-th convergent to a continued fraction considered as $n$-th diagonal Pade approximation. We shall discuss the most prominent result in that direction: Stahl's Theorem on the representation of an arbitrary algebraic function via continued fraction.

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