Second Main Theorem and Uniqueness Problem of Meromorphic Functions with Finite Growth Index Sharing Five Small Functions on a Complex Disc

Abstract

This paper has a twofold purpose. The first is to establish a second main theorem for meromorphic functions on the complex disc Δ(R₀) ⊂ ℂ with finite growth index and small functions, where the counting functions are truncated to level 1 and the small term is more detailedly 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).

Keywords

Nevanlinna theory / Second main theorem / Meromorphic function / Small function / 30D35 / 32H30 / 32A22

References

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