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A uniqueness theorem of complex $q$-difference operator

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 نشر من قبل XiaoHuang Huang
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف XiaoHuang Huang




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In this paper, we study the uniqueness of zero-order entire functions and their difference. We have proved: Let $f(z)$ be a nonconstant entire function of zero order, let $q eq0, eta$ be two finite complex numbers, and let $a$ and $b$ be two distinct complex numbers. If $f(z)$ and $Delta_{q,eta}f(z)$ share $a$, $b$ IM, then $fequiv Delta_{q,eta}f$.



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