A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator

被引：19

作者：

Srivastava, Hari M. ^{[1
]}

Gaboury, Sebastien ^{[2
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Univ Quebec Chicoutimi, Dept Math & Comp Sci, Chicoutimi, PQ G7H 2B1, Canada

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

analytic functions; starlike functions; generalized Hurwitz-Lerch zeta function; Srivastava-Attiya operator; Hadamard product; UNIVALENT; STARLIKE; SUBCLASSES; BERNOULLI; FAMILIES; EULER;

D O I：

10.1186/s13660-015-0573-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of analytic functions defined by a new convolution operator J((lambda p),(mu q)),(s,a,lambda)(b) which generalizes the well-known Srivastava-Attiya operator investigated by Srivastava and Attiya (Integral Transforms Spec. Funct. 18: 207-216, 2007). We derive coefficient inequalities, distortion theorems, extreme points and the Fekete-Szego problem for this new function class.

引用

页数：15

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