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Inclusion relations between classes of hypergeometric functions

机译:超几何函数类之间的包含关系

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The use of hypergeometric functions in univalent function theory received special attention after the surprising application of such functions by de Branges in the proof of the 70-year old BieberbachConjecture. In this paper we consider certain classes of analytic functions and examine the distortion and containment properties of generalized hypergeometric functions under some operators in these classes.
机译:在de Branges在70岁的Bieberbach猜想的证明中令人惊讶地应用了此类函数之后,在单价函数理论中使用超几何函数受到了特别的关注。在本文中,我们考虑了某些类的解析函数,并研究了这些类中某些算子下广义超几何函数的畸变和包含特性。

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