New criteria for meromorphic convex functions

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.

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  • Communications, Series A1:Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi