On Singular Points of Meromorphic Functions Determined by Continued Fractions |
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Authors: | V I Buslaev |
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Institution: | 1.Steklov Mathematical Institute of Russian Academy of Sciences,Moscow,Russia |
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Abstract: | It is shown that Leighton’s conjecture about singular points of meromorphic functions represented by C-fractions K∞n=1(a n z αn /1) with exponents α1, α2,... tending to infinity, which was proved by Gonchar for a nondecreasing sequence of exponents, holds also for meromorphic functions represented by continued fractions K∞n=1(a n A n (z)/1), where A1,A2,... is a sequence of polynomials with limit distribution of zeros whose degrees tend to infinity. |
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