Univalent functions defined by Ruscheweyh derivatives

S. L. Shukla and Vinod Kumar

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-4

Abstract:

We study some radii problems concerning the integral operator F ( z ) = γ + 1 z γ ∫ ° z u γ − 1 f ( u ) d u for certain classes, namely K n and M n ( α ) , of univalent functions defined by Ruscheweyh derivatives. Infact, we obtain the converse of Ruscheweyh's result and improve a result of Goel and Sohi for complex γ by a different technique. The results are sharp.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:670460

DOI: 10.1155/S0161171283000435

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