Hyperbolically close to $Q_p^\#$-sequences
Bull. Korean Math. Soc.
Published online December 17, 2019
Rauno Aulaskari, Shamil Makhmutov, and Jouni Rattya
Sultan Qaboos University, University of Eastern Finland
Abstract : It is shown that each sequence $\{b_n\}$ lying sufficiently close in the hyperbolic sense to a $Q_p^\#$-sequence $\{a_n\}$ for a meromorphic function $f$ in the unit disc is also a $Q_p^\#$-sequence for~$f$.
Keywords : normal function, $N$-sequence, spherical derivative, $Q^\#_p$-class, $Q^\#_p$-sequence
MSC numbers : 30D45, 30D50
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