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关于亚纯函数的k阶导函数和有理函数

, PP. 8-17

Keywords: 亚纯函数,Julia例外函数,拟正规族

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Abstract:

设\,$f$\,是复平面\,$\mathbbC$\,内的超越亚纯函数,$R$\,是一个有理函数且\,$R\not\equiv0$,$k$\,是一个正整数.并假设\,$f$\,的零点重级至少为\,$k+1$,至多有限个零点例外.则\,$f^{(k)}-R$\,有无限多个零点.

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