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OALib Journal期刊
ISSN: 2333-9721
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与分担值相关的正规族
Keywords: 亚纯函数,零点,正规族
Abstract:
设\,$\F$\,为区域\,$D$\,上的亚纯函数族,$a$\,和\,$b$\,都是不为零的两个有穷复数($\frac{a}{b}$\,不是正整数),若每个\,$f\in\F$,$f(z)=a\Rightarrowf^{(k)}(z)=a$,且\,$f-a$\,的零点重级至少为\,$k$,当\,$f^{(k)}(z)=b$\,时有\,$|f(z)-a|\geq\varepsilon$,其中\,$\varepsilon$\,为正数.则\,$\F$\,在区域\,$D$\,内正规.
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