PARTIAL SUMS OF CERTAIN MEROMORPHIC P-VALENT FUNCTIONS

被引：0
|
作者：
Frasin, B. A. [1 ]
Murugusundaramoorthy, G. [2 ]
机构：
[1] Al al Bayt Univ, Dept Math, POB 130095, Mafraq, Jordan
[2] Vellore Inst Technol, Dept Math, Vellore 632014, Tamil Nadu, India
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2005年 / 50卷 / 04期
关键词：
Meromorphic p-valent functions; meromorphic p-valently starlike and meromorphic p-valently convex functions; partial sums;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the ratio of meromorphic p-valent functions in the punctured disk D = {z : 0 < vertical bar z vertical bar < 1} of the form f(z) = 1/z(p) + Sigma(infinity)(k=1)a(p+k)(-1) z(p+k)(-1) to its sequence of partial sums of the form f(n) (z) = 1/z(p) + Sigma(n)(k=1)a(p-k)(-1) z(p+k)(-1). Also, we will determine sharp k=:1 lower bounds for Re{f(z)/f(n)(z)} , Re {f(n)(z)/f(z)} , Re {f'(z)/f'(n)(z)} and Re {f'(n)(z)/f'(z)}.
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页码：33 / 40
页数：8
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