UNIVALENCY AND STARLIKENESS OF NORMALIZED HURWITZ-LERCH ZETA FUNCTION INSIDE UNIT DISK

被引：6
|
作者：
Bansal, Deepak [1 ]
Sokol, Janusz [2 ]
机构：
[1] Coll Engn & Technol, Dept Math, Bikaner 334004, Rajasthan, India
[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2017年 / 11卷 / 03期
关键词：
analytic function; univalent function; starlike function; close-to-convex function; Hurwitz-Lerch Zeta function; polylogarithmic function;
D O I：
10.7153/jmi-2017-11-66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present investigation we study normalized Hurwitz-Lerch Zeta function and find sufficient conditions, so that the normalized Hurwitz-Lerch Zeta function have certain geometric properties like close-to-convexity, univalency and starlikeness inside the unit disc.
引用
收藏
页码：863 / 871
页数：9
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