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| Second Main Theorem and Uniqueness Problem of Meromorphic Functions with Finite Growth Index Sharing Five Small Functions on a Complex Disc |
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Citation： |
Si Duc QUANG.Second Main Theorem and Uniqueness Problem of Meromorphic Functions with Finite Growth Index Sharing Five Small Functions on a Complex Disc[J].Chinese Annals of Mathematics B,2026,(4):697~710 |
| Page view： 582
Net amount： 345 |
Authors： |
Si Duc QUANG; |
Foundation： |
the Vietnam National Foundation for Science and Technology Development
(NAFOSTED) (No. 101.02-2021.12). |
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| Abstract： |
This paper has a twofold purpose. The first is to establish a second main
theorem for meromorphic functions on the complex disc ?(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 ?(R0). |
Keywords： |
Nevanlinna theory Second main theorem Meromorphic function Small
function |
Classification： |
30D35, 32H30, 32A22 |
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