Bi-Univalent Problems Involving Generalized Multiplier Transform with Respect to Symmetric and Conjugate Points

Abstract

In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function f(z) belonging to these new subclasses and their relevant connections to the famous Fekete-Szegö inequality |a3−va22| were investigated using a succinct mathematical approach.

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

“…are satisfied for z, ω ∈ E and g ϕ = f −1 ϕ given by (7). Interestingly, authors in [2,3,26,29,30] also investigated different classes of functions of interest. See also [31][32][33][34][35][36].…”

Coefficient Bounds for a New Families of m-Fold Symmetric Bi-Univalent Functions Defined by Bazilevic Convex Functions

“…106 Singh [10] introduced and studied Bazilevic function that is the function such that Re / 23 ′ 23 0 > 0, ∈ , ≥ 0 .…”

“…For a brief history and interesting examples in the family Σ see the pioneering work on this subject by Srivastava et al [25], which actually revived the study of bi-univalent functions in recent years. In a considerably large number of sequels to the aforementioned work of Srivastava et al [25], several different sub families of the bi-univalent function family Σ were introduced and studied analogously by the many authors (see, for example, [1,2,3,5,9,10,11,15,19,23,28,29,30,33]).…”

On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers

“…Many works on the bi-univalent functions have been presented in the previous papers (see [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]). We recall some examples of functions in the family Σ, from the work of Srivastava et al [21],…”