Value cross-sharing problems on meromorphic functions

期刊论文
发表日期：

2024年9月16日

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Y. C. Gao,
K. Liu,
F. N. Wang

摘要

In this paper, we continue to consider the value cross-sharing problems on meromorphic functions. We mainly present some results and improvements on $f(z)$ $f (z)$ and $g(z)$ $g (z)$ provided that $f(z)$ $f (z)$ and $g^{(k)}(z)$ $g^{(k)} (z)$ share common values together with $g(z)$ $g (z)$ and $f^{(k)}(z)$ $f^{(k)} (z)$ share the same or different common values CM or IM, where $f(z), g(z)$ $f (z), g (z)$ are meromorphic functions and $k$ $k$ is a positive integer. With additional conditions on deficiency, we get more accurate relations on $f(z)$ $f (z)$ and $g(z)$ $f (z)$ when $f(z)$ $f (z)$ and $g^{(k)}(z)$ $g^{(k)} (z)$ share a CM together with $g(z)$ $g (z)$ and $f^{(k)}(z)$ $f^{(k)} (z)$ share b CM, where a, b are constants.