Abstract
In this paper, we show that two admissible meromorphic functions on an annulus must coincide to each other if they share \(q\ (q\ge 5)\) distinct small functions regardless of multiplicity. We also show that such two meromorphic functions must be linked by a quasi-Möbius transformation if they share four distinct small functions with multiplicities truncated by a certain level. Moreover, in our result, all intersection points of such meromorphic functions with small functions do not need to be counted if their multiplicities are bigger than a certain number.
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This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 101.04-2018.01.
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Communicated by Daniel Aron Alpay.
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Si, D.Q., Ha, H.G. & Tran, A.H. Meromorphic Functions on Annuli Sharing Few Small Functions with Truncated Multiplicities. Complex Anal. Oper. Theory 13, 1693–1711 (2019). https://doi.org/10.1007/s11785-018-0808-3
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DOI: https://doi.org/10.1007/s11785-018-0808-3