In this paper, we investigate the properties of neighbourhoods offunctions for the classes U CV (α) and Sp(α). First we established an inclusion relationship between them and proved a necessary and sufficient conditioninterms of convolutions for a function f to be in Sp(α). Next we show thatthe class Sp(α) is closed under convolution with functions f (z) which are convex univalent. The results obtained in this which generalizes the results ofPadmanabhan [8] and Ronning [9]
Bölüm | Articles |
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Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2014 |
Gönderilme Tarihi | 4 Nisan 2015 |
Yayımlandığı Sayı | Yıl 2014 Cilt: 2 Sayı: 2 |