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

Authors

  • 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

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Published

2014-10-13

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Section

Articoli