On a class of meromorphic starlike functions with positive coeffients

Let T„(A, B, Zq) denote tlıe class of functions f (z) — a z + ce S a„z“ (a > I, aiı > 0) regular and univalent in the disc ü' n=ı {z: 0 İz I 1 {, satisfying 1 -|- Aw (z) 1 -j- Bav (z) f^z) f(z) — z , for z e U', and AV e E (Avhere E is the class of analytic functions av Avith Av(0)= 0 and I AV (z) I < 1), Avhere -1 ; A < B < 1, 0 < B <1 andf' (zq) I z^o (0 ^0 1). In this paper, sharp coefficient eştimates for the çlass Tjj (A, B, zo) have been studied Radius of meromorphic conyexity, integral transform of functions in Tjj (A, B, Zq) have been obtained. It is also provpd tliat the class Tjj (A, B, Zq) is closed under convex linear combination. In the last part, the convolution problem of these functions have been ştudied.

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
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