Abstract

Let be a point sequence in the unit disc and the Nevanlinna characteristic of the sequence , . In terms of the Nevanlinna characteristic one finds estimates for the slowest possible growth of the characteristic as in the class of holomorphic functions in vanishing on . Let be a meromorphic function in . In terms of the Nevanlinna characteristic function of one finds estimates for the slowest possible growth of the characteristics and in the class of pairs of holomorphic functions and such that .

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