Properties of analytic functions involving a differintegral operator defined using R-function
Document Type
Article
Source of Publication
Arab Journal of Basic and Applied Sciences
Publication Date
5-18-2026
Abstract
The so-called R-function combines the generalized Gaussian hypergeometric function and generalized Mittag-Leffler function. The R-function is a generalization of well-known M-series which is defined to accommodate the well-known Srivastava-Tomovski operator. Using the Hadamard product, here we define a differential operator involving R-function which would include the convex combination of analytic function. Using the defined operator, here we define a new subclasses of starlike functions subordinate to the general function. The primary aim is to generalize and unify the study of various subclasses of univalent function theory. We derive the initial coefficient estimates and Fekete-Szego inequality for the defined function class. In the last section, we present applications involving results associated with vertical domain and Janowski function. Further by appropriate choice of parameters, we provided some new and well known results of our main result.
DOI Link
ISSN
Publisher
Informa UK Limited
Volume
33
Issue
1
First Page
186
Last Page
198
Disciplines
Mathematics
Keywords
Analytic function, generalized Gaussian hypergeometric function, generalized Mittag-Leffler function, starlike function, univalent function
Scopus ID
Recommended Citation
Umadevi, Elangho; Karthikeyan, Kadhavoor R.; and Mohankumar, Dharmaraj, "Properties of analytic functions involving a differintegral operator defined using R-function" (2026). All Works. 8156.
https://zuscholars.zu.ac.ae/works/8156
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series