Work

Applications of Mittag–Leffler Functions on a Subclass of Meromorphic Functions Influenced by the Definition of a Non-Newtonian Derivative

Year: 2024

Type: article

Abstract: In this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative. Replacing the ordinary derivative with a multiplicative derivative in the subclass of starlike meromorphic functions made the class redundant; thus, major deviation or adaptation was required in defining a class of meromorphic functions influenced by the multiplicative derivative. In addition, we redefined the subclass of meromorphic functions analogous to the class of the functions with respect to symmetric points. Initial coefficient estimates and Fekete–Szegö inequalities were obtained for the defined function classes. Some examples along with graphs have been used to establish the inclusion and closure properties.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8090509

Authors: Daniel Breaz, Kadhavoor R. Karthikeyan, Gangadharan Murugusundaramoorthy

Institutions: 1 Decembrie 1918 University, National University of Science and Technology, Vellore Institute of Technology University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4402006557

FWCI: 5.599

Cites: 14

Cited by: 8

Related to: 10