Turkish Journal of Mathematics
Author ORCID Identifier
DANIELA ANDRADA BARDAC-VLADA: 0009-0001-3159-1435
GEORGIA OROS: 0000-0003-2902-4455
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.
DOI
10.55730/1300-0098.3615
Keywords
Positive real part function, Dziok-Srivastava operator, Bessel function of the first kind, convolution, differential subordination
First Page
649
Last Page
667
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
BARDAC-VLADA, D, & OROS, G. I (2025). Applications of a new linear operator involving Dziok-Srivastava operator and Bessel function of the first kind. Turkish Journal of Mathematics 49 (5): 649-667. https://doi.org/10.55730/1300-0098.3615
