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

Title & Authors
BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING HURWITZ-LERCH ZETA FUNCTION
Murugusundaramoorthy, G.; Janani, T.; Cho, Nak Eun;

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 $\small{{\mid}a_2{\mid}}$ and $\small{{\mid}a_3{\mid}}$ 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;
Language
English
Cited by
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