A counterexample to the Arakelyan conjecture

Erëmenko, A.

doi:10.1090/S0273-0979-1992-00299-9

A counterexample to the Arakelyan conjecture
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Bull. Amer. Math. Soc. 27 (1992), 159-164 Request permission

Abstract:

A "self-similar" example is constructed that shows that a conjecture of N. U. Arakelyan on the order of decrease of deficiencies of an entire function of finite order is not true.

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Inverse problem of value distribution theory for meromorphic functions of finite order

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