Applications of a new linear operator involving Dziok-Srivastava operator and Bessel function of the first kind
Year: 2025
Type: article
Abstract: This study introduces a new linear operator constructed from the well-known Dziok–Srivastava linear hypergeometric operator, the Bessel function of the first kind, and convolution. Applying the new operator, a class of functions with positive real part is defined and investigated concerning inclusion relations, the necessary and sufficient conditions for functions to belong to this class, as well as starlikeness and convexity conditions. The properties of the new class to be convex of a certain order, close-to-convex and starlike of a certain order are highlighted and examples are also included to prove that the new outcome is applicable. The methods employed for the investigation are specific to the prolific theory of differential subordination initiated by S.S. Miller and P.T. Mocanu.
Source: TURKISH JOURNAL OF MATHEMATICS
Authors: DANIELA ANDRADA BARDAC-VLADA, GEORGIA IRINA OROS
Institution: University of Oradea
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7082383239