International Journal of Research and Scientific Innovation (IJRSI)
On A Certain Subclass of Analytic Functions Defined Via a Generalized Differential Operator
Published March 27, 2026 • Vol. 13, Issue 3, pp. 511–521Open Access
DOI: 10.51244/IJRSI.2026.1303000045
Abstract
In this paper we introduce and study several new subclasses of analytic and univalent functions in the open unit disk defined by means of a generalized differential operator. The operator generalizes numerous differential operators which have been widely used in geometric function theory. Using standard techniques involving subordination and Carath’eodory functions, we derive comprehensive coefficient estimates, the Fekete–Szegő inequality, bounds for the second Hankel determinant, inclusion relationships, neighborhood properties, Growth and Distortion properties. The results obtained in this work generalize and unify several earlier results in the literature.
Keywords: Analytic functions, differential operator, unit disk, coefficient estimates
| Journal | International Journal of Research and Scientific Innovation (IJRSI) |
|---|---|
| ISSN | 2321-2705 |
| Volume / Issue | Volume 13, Issue 3 |
| Pages | 511–521 |
| Publication date | March 27, 2026 |
| DOI | 10.51244/IJRSI.2026.1303000045 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Oluwasegun Adeshina OLUKOYA (2026). On A Certain Subclass of Analytic Functions Defined Via a Generalized Differential Operator. International Journal of Research and Scientific Innovation (IJRSI), 13(3), 511-521. https://doi.org/10.51244/IJRSI.2026.1303000045
BibTeX
@article{Oluwasegun2026,
title = {On A Certain Subclass of Analytic Functions Defined Via a Generalized Differential Operator},
author = {Oluwasegun Adeshina OLUKOYA},
journal = {International Journal of Research and Scientific Innovation (IJRSI)},
volume = {13},
number = {3},
pages = {511--521},
year = {2026},
doi = {10.51244/IJRSI.2026.1303000045},
publisher = {RSIS International}
}