PARTIAL SUMS OF A GENERALIZED CLASS OF ANALYTIC FUNCTIONS DEFINED BY A GENERALIZED SRIVASTAVA-ATTIYA OPERATOR

被引：2

作者：

Challab, K. A. ^{[1
]}

Darus, M. ^{[1
]}

Ghanim, F. ^{[2
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi Selangor D Ehsan 43600, Malaysia

[2] Univ Sharjah, Dept Math, Coll Sci, Sharjah, U Arab Emirates

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2018年 / 15卷

关键词：

analytic functions; Hadamard product (or convolution); generalized Hurwitz-Lerch zeta function; Srivastava-Attiya operator;

D O I：

10.17377/semi.2018.15.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f(n)(z) = z+Sigma(n)(k=2) a(k)z(k) be the sequence of partial sums of the analytic function f(z) = z + Sigma(infinity)(k=2) a(k)z(k). In this paper, we determine sharp lower bounds for R {f(z)=fn(z)}; R {fn(z)=f(z)}; R {f ' (z)=f ' n(z)} and R {f ' n(z)=f ' (z)}. The efficiency of the main result not only provides the unification of the results discussed in the literature but also generates certain new results.

引用

页码：362 / 372

页数：11

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