Valeri A. Martirosian, Jürgen Müller
Abstract
A Liouville-type result is proved for holomorphic functions having lacunary power series with restricted growth for a subsequence of the partial sums. As an application, converse results concerning existence of universal holomorphic functions are given.
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A Liouville-type result is proved for holomorphic functions having lacunary power series with restricted growth for a subsequence of the partial sums. As an application, converse results concerning existence of universal holomorphic functions are given.
Key concepts: Lacunary function, Holomorphic function, Subsequence, Converse, Mathematics, Type (biology), Series (stratigraphy), Pure mathematics