Let Q (a) be the class of functions of the form f (z) = 1 + a.k z k (a -! 0) z *=o which are regular in the punctured disc U* = {z : 0 < |z| < 1} and satisfy- ing
and n € No — {0,1,2,...}, where
D n f (z) = + Y 'fc n a fc_2 zfc- 2 .
z
fc=2
It is proved that Qn+ı (a) C Qn (a). Since Qo (a) is the class of meromor- plıically convex functions of order a(0 < a < 1) the members of Qn (a) are nıeromorfically convex . Further property preserviug integrals are considered.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 2005 |
Gönderilme Tarihi | 1 Ocak 2005 |
Yayımlandığı Sayı | Yıl 2005 Cilt: 54 Sayı: 01 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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