Initial coefficient bounds for certain class of meromorphic bi-univalent functions

Abstract

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on Δ = {z ∈ ℂ: 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper generalize and improve some recent works.

A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions

“…The estimates of a 2 and a 3 are much better than those given by Xu et al ([37], Corollary 2) and Frasin and Aouf ([7], Theorem 3.2). Moreover, the estimate of a 2 which gives the range of β corresponds to the suitable bound of a 2 , which facilitates Corollary 11 in [40]. Now, for the case whenever η = 1, Corollary 9 reduces to Theorem 3.2 in [10], for p = 1, as follows.…”

Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

“…Many researchers introduced and studied subclasses of meromorphic bi-univalent functions (see, for instance, Janani et al [26], Orhan et al [27] and others [28][29][30]).…”

Certain Properties on Meromorphic Functions Defined by a New Linear Operator Involving the Mittag-Leffler Function

“…Some other authors have studied various classes of meromorphic univalent functions, such as, see [3,6,7,20,28] and [30]). Such works encouraged us to create the new class T τ α,µ (a m , b r , d) of Σ, that includes the operator J α,µ h (z), and it is presented as follows.…”