Differential subordinations for fractional-linear transformations

Yong Chan Kim, Adam Lecko, Jae Ho Choi and Megumi Saigo

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-9

Abstract:

We establish that the differential subordinations of the forms p ( z ) + γ z p ′ ( z ) ≺ h ( A 1 , B 1 ; z ) or p ( z ) + γ z p ′ ( z ) / p ( z ) ≺ h ( A 2 , B 2 ; z ) implies p ( z ) ≺ h ( A , B ; z ) , where γ ≥ 0 and h ( A , B ; z ) = ( 1 + A z ) / ( 1 + B z ) with − 1 ≤ B < A .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:341929

DOI: 10.1155/S0161171200001666

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