Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc

2022/05/31 by Quang, Si Duc
#30D35 #32A22 #32H30 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.15491

Abstract

This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc Δ(R₀)⊂\mathbb C with finite growth index and small functions, where the counting functions are truncated to level 1 and the small term is more detailed estimated. The second is to prove a generalization and improvement of the five values theorem of Nevanlinna for the case of five small functions on the complex disc Δ(R₀).

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