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

  • Gangaharan Murugu Sundaramoorthy VIT UNIVERSITY
Keywords: Analytic functions, Univalent functions, Bi-univalent functions, Bi-starlike and bi-convex functions, Hurwitz-Lerch Zeta functions, 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.

Author Biography

Gangaharan Murugu Sundaramoorthy, VIT UNIVERSITY
Dr. G.Murugusundaramoorthy, Ph.D
Sr. Professor of Mathematics,
School of Advanced Sciences,
VIT UNIVERSITY, Vellore-632 014.
India, www.vit.ac.in
Alternate Email: gms@vit.ac.in
Published
2014-10-13
Section
Articoli