On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

Abstract

This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

On Meromorphic Functions Defined by a New Class of Liu-Srivastava Integral Operator

“…For recent work on meromorphic functions we refer [10,11,13,14,17,19]. Motivated, from the above cited work we obtained the following results.…”

Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q-Derivative Operator

“…Clearly, substituting Equations (17) and (18) into Equations (13) and (14), respectively, in the event that we make use of Equation 7, we get…”

“…For the purpose of brevity, we will utilize the notations given in Equations (10)- (12). Now, making use of the notations defined above and combining Equations (23) and (28), we get…”

“…Raghavendar and Swaminathan [5] studied basic q-close-to-convex function properties, while Aral et al [6] identified q-calculus applications within operator theory. In addition, fractional q-derivative and fractional q-integral operators, among other q-calculus operators, have been applied in constructing a number of analytic function subclasses, as in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Properties of Certain Subclasses of Meromorphically p -Valent Functions Associated with Certain Integral Operator

“…ere are many papers about some subclasses of meromorphic functions associated with several families of linear operators (see, for example, [5][6][7][8][9][10][11]). In this paper, we obtain some properties of the class S p,m (α, μ, λ, A, B).…”