Geodesic
On the disc of meromorphy of a~regular $C$-fraction
Sbornik. Mathematics, Tome 206 (2015) no. 2, pp. 201-210

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We consider families of regular continued $C$-fractions with parameters determined by the values of a function on the orbit of a point in the phase space of a dynamical system. We prove that the radius of meromorphy of such a fraction is constant almost everywhere. Bounds for this constant are found. Bibliography: 10 titles.
Keywords: power series, regular $C$-fraction, disc of meromorphy, stationary random process. 
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     author = {V. S. Buyarov},
     title = {On the disc of meromorphy of a~regular $C$-fraction},
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V. S. Buyarov. On the disc of meromorphy of a~regular $C$-fraction. Sbornik. Mathematics, Tome 206 (2015) no. 2, pp. 201-210. http://geodesic.mathdoc.fr/item/SM_2015_206_2_a1/