Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator

Abstract

In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions. Furthermore, we ndestimates on the Taylor-Maclaurin coecients |a_2| and |a_3| for functions in these 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
• Hurwitz-Lerch Zeta functions
• Srivastava-Attiya operator.