Continued fractions with limit periodic coefficients

V. I. Buslaev

Sbornik. Mathematics, Tome 209 (2018) no. 2, pp. 187-205

Résumé

The boundary properties of functions represented by limit periodic continued fractions of a fairly general form are investigated. Such functions are shown to have no single-valued meromorphic extension to any neighbourhood of any non-isolated boundary point of the set of convergence of the continued fraction. The boundary of the set of meromorphy has the property of symmetry in an external field determined by the parameters of the continued fraction. Bibliography: 26 titles.

Détail

Keywords: continued fractions, Hankel determinants, meromorphic extension, transfinite diameter.

Bibliographie

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