On a class of meromorphic starlike functions with positive coeffients

Authors : Kumar Pal SHIV

Pages : 0-0

Doi:10.1501/Commua1_0000000475

View : 13 | Download : 8

Publication Date : 1994-01-01

Article Type : Research Paper

Abstract :Let T„insert ignore into journalissuearticles values(A, B, Zq); denote tlıe class of functions f insert ignore into journalissuearticles values(z); — a z + ce S a„z“ insert ignore into journalissuearticles values(a > I, aiı > 0); regular and univalent in the disc ü` n=ı {z: 0 İz I 1 {, satisfying 1 -|- Aw insert ignore into journalissuearticles values(z); 1 -j- Bav insert ignore into journalissuearticles values(z); f^z); finsert ignore into journalissuearticles values(z); — z , for z e U`, and AV e E insert ignore into journalissuearticles values(Avhere E is the class of analytic functions av Avith Avinsert ignore into journalissuearticles values(0);= 0 and I AV insert ignore into journalissuearticles values(z); I < 1);, Avhere -1 ; A < B < 1, 0 < B <1 andf` insert ignore into journalissuearticles values(zq); I z^o insert ignore into journalissuearticles values(0 ^0 1);. In this paper, sharp coefficient eştimates for the çlass Tjj insert ignore into journalissuearticles values(A, B, zo); have been studied Radius of meromorphic conyexity, integral transform of functions in Tjj insert ignore into journalissuearticles values(A, B, Zq); have been obtained. It is also provpd tliat the class Tjj insert ignore into journalissuearticles values(A, B, Zq); is closed under convex linear combination. In the last part, the convolution problem of these functions have been ştudied.
Keywords : meromorphic starlike, positive coeffients, Statistics