Bi- Starlike Function of Complex Order Based on Double Zeta Functions Associated with Crescent Shaped Region

EasyChair Preprint 7111

Abstract

In the present paper, we defined two new subclasses of bi-starlike and bi-convex function of complex order involving double zeta functions in the open unit disc and obtained initial coefficients of functions in these classes related with crescent shaped region. Furthermore, we determine the Fekete-Szeg\"{o} inequalities for function in these classes. Several consequences of the results which are new are also pointed out as corollaries.

Keyphrases: Analytic functions, Bi-starlike and bi-convex functions of complex order, Bi-univalent functions, Univalent functions, double-zeta functions

@booklet{EasyChair:7111,
  author    = {V Malathi and K Vijaya},
  title     = {Bi- Starlike Function of Complex Order Based on Double Zeta Functions Associated with Crescent Shaped Region},
  howpublished = {EasyChair Preprint 7111},
  year      = {EasyChair, 2021}}