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http://dx.doi.org/10.7858/eamj.2016.006

BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING HURWITZ-LERCH ZETA FUNCTION  

Murugusundaramoorthy, G. (School of Advanced Sciences VIT University)
Janani, T. (School of Advanced Sciences VIT University)
Cho, Nak Eun (Department of Applied Mathematics Pukyong National University)
Publication Information
East Asian mathematical journal / v.32, no.1, 2016 , pp. 47-59 More about this Journal
Abstract
The purpose of the present paper is to introduce and investigate two new subclasses of bi-univalent functions of complex order defined in the open unit disk, which are associated with Hurwitz-Lerch zeta function and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ${\mid}a_2{\mid}$ and ${\mid}a_3{\mid}$ for functions in the new subclasses. Several (known or new) consequences of the results are also pointed out.
Keywords
Analytic functions; Univalent functions; Bi-univalent functions; Bi-starlike and bi-convex functions; Generalized Srivastava-Attiya operator; Hurwitz-Lerch Zeta function;
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