Coefficient Estimate for Class of Meromorphic Bi-Bazilevic Type Functions Associated With Linear Operator Defined by Convolution

Abstract

In the present paper, we propose to investigate a new subclass ∑^*,p,q_M (h, μ, λ, k,γ) of meromorphic functions associated with linear operator defined by means of convolution in the exterior of the unit disk ∇ := {z ∈ C : 1 < |z| < ∞}.
We study the behaviour of initial coefficients b0, b1 and b2 for the function in this newly constructed class. Some interesting remarks of the results presented here are discussed. Our results generalize and improve some of the previously known results of other researchers.

Key words and phrases. Analytic function, meromorphic function, bi-univalent function, bi-Bazilevic function, linear operator, convolution.

2000 Mathematics Subject Classification. Primary: 30C45, 30C80; Secondary 30C50