共查询到10条相似文献,搜索用时 93 毫秒
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The object of the present paper is to investigate a family of integral operators defined on the space of normalized meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex meromorphic functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Several interesting integral-preserving properties are also considered. 相似文献
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设k为正整数,M为正数;F为区域D内的亚纯函数族,且其零点重级至少为k;h为D内的亚纯函数(h(z)≠0,∞),且h(z)的极点重级至多为k.若对任意给定的函数f∈F,f与f~((k))分担0,且f~((k))(z)-h(z)=0?|f(z)|≥M,则F在D内正规. 相似文献
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Uniqueness of meromorphic functions concerning sharing two small functions with their derivatives 下载免费PDF全文
In this paper, we study the uniqueness of meromorphic functions that share two small functions with their derivatives. We prove the following result: Let $f$ be a nonconstant meromorphic function such that $\mathop {\overline{\lim}}\limits_{r\to\infty} \frac{\bar{N}(r,f)}{T(r,f)}<\frac{3}{128}$, and let $a$, $b$ be two distinct small functions of $f$ with $a\not\equiv\infty$ and $b\not\equiv\infty$. If $f$ and $f"$ share $a$ and $b$ IM, then $f\equiv f"$. 相似文献
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Indrajit Lahiri 《Journal of Mathematical Analysis and Applications》2002,271(1):206-216
In this paper we prove a uniqueness theorem for meromorphic functions sharing three values with some weight which improves some known results. 相似文献
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Indrajit Lahiri 《Journal of Mathematical Analysis and Applications》2003,283(1):66-76
We prove a uniqueness theorem for meromorphic functions sharing three values with some finite weight which improves a recent result of the author. 相似文献
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亚纯函数的不动点与拟正规族 总被引:4,自引:0,他引:4
本文研究了亚纯函数的不动点与拟正规族的关系,得到了以下结果:设F 是区域D内的亚纯函数族,q是一个非负整数.如果对任意的f∈F存在自然数k=k(f)>1使得f的 k次迭代f~k在 D内最多有 q个不动点,则F是 D内阶至多为max{4,q+3}的拟正规族. 相似文献