Geodesic
On Singular points of Meromorphic Functions Determined by Continued Fractions
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 490-502.

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It is shown that Leighton's conjecture about singular points of meromorphic functions represented by C-fractions $\mathscr K _{n=1}^\infty(a_nz^{\alpha_n}/1)$ with exponents $\alpha_1,\alpha_2,\dots$ tending to infinity, which was proved by Gonchar for a nondecreasing sequence of exponents, holds also for meromorphic functions represented by continued fractions $\mathscr K _{n=1}^\infty(a_nA_n(z)/1)$, where $A_1,A_2,\dots$ is a sequence of polynomials with limit distribution of zeros whose degrees tend to infinity.
Keywords: continued fraction, Hankel determinant, transfinite diameter, meromorphic continuation. 
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V. I. Buslaev. On Singular points of Meromorphic Functions Determined by Continued Fractions. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 490-502. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a1/

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