Closeness of $a$-points property and structure of Riemann's surfaces from $F_q$ class

I. E. Chyzhykov

Ivan Franko National University of L'viv

Abstract: We improve G. Barsegyan's result on one-sheet filling domains for meromorphic functions $f$ such that the Riemann surface of the function $f^{-1}$ belongs to $F_q$ class. In particular, a sharp estimate for quantity of these domains is obtained.

MSC: 30C99, 30D35, 30F99

Received: 22.01.2001

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