Mittag‐Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions

Abstract

In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazilevic̆ functions. We examine inclusion properties, radius problems, and an application of the generalized Bernardi–Libera–Livingston integral operator for this function class.

On Classes of Non-Carathéodory Functions Associated with a Family of Functions Starlike in the Direction of the Real Axis

“…Further, we have discussed some geometrical and analytic properties of the function Λ[α, β; ψ(z)] in detail. However, in the defined function class, the left-hand side of differential characterization in ( 4) is closely related to the well-known studies conducted by various authors (see [11,28,29]). Some subordination properties and initial coefficient estimates are our main results.…”

“…Motivated by [11][12][13][14][15][16][17], we now define a generalized class of Bazilevič functions.…”