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A new proof of entire function sharing three small functions CM with it $n-$ exact difference

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 نشر من قبل XiaoHuang Huang
 تاريخ النشر 2021
  مجال البحث
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 تأليف XiaoHuang Huang




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In this paper, we study the uniqueness of the difference of meromorphic functions. We give a new proof of the following result: Let $f$ be a transcendental meromorphic function of hyper-order less than $1$, let $eta$ be a non-zero complex number, $ngeq1$, an integer, and let $a,b,c$ be three distinct periodic small functions with period $eta$. If $f$ and $Delta_{eta}^{n}f$ share $a,b,c$ CM, then $fequivDelta_{eta}^{n}f$, which using a different method from cite{gkzz}.



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