Work

On Generalizations of the Close-to-Convex Functions Associated with q-Srivastava–Attiya Operator

Year: 2023

Type: article

Abstract: The study of the q-analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the help of the q-difference operator. Moreover, by using the q-analogues of a certain family of linear operators, the classes Kq,bsh, K˜q,sbh, Qq,bsh, and Q˜q,sbh are introduced. Several interesting inclusion relationships between these newly defined classes are discussed, and the invariance of these classes under the q-Bernadi integral operator was examined. Furthermore, some special cases and useful consequences of these investigations were taken into consideration.

Source: Mathematics

DOI: 10.3390/math11092022

Authors: Daniel Breaz, Abdullah A. Alahmari, Luminiţa-Ioana Cotîrlă, Shujaat Ali Shah

Institutions: 1 Decembrie 1918 University, Umm al-Qura University, Technical University of Cluj-Napoca, Quaid-e-Awam University of Engineering, Science and Technology

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

Funder: Umm Al-Qura University