ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Mathematical Physics
ON CLASSES OF NON-UNIVALENT FUNCTIONS INFLUENCED BY THE 1 MULTIPLICATIVE DERIVATIVE
Provisionally accepted
- 1Universitatea 1 Decembrie 1918 din Alba Iulia, Alba Iulia, Romania
- 2National University of Science and Technology (Muscat), Muscat, Oman
- 3Saveetha Engineering College, Chennai, India
Select one of your emails
You have multiple emails registered with Frontiers:
Notify me on publication
Please enter your email address:
If you already have an account, please login
You don't have a Frontiers account ? You can register here
Abstract. In this article, we extend the studies related to the class of starlike function which were motivated by the definition of multiplicative derivative. In this direction, we define a new class by combining characterizations of starlike functions and a recently studied subclass of analytic functions. Further, we have also defined a new family of analytic functions motivated by the so-called theta starlike function. Here we discussed in detail the problems and repercussions of involving a non-Newtonian derivative in the studies related to various subclasses of analytic functions. Fekete-Szeg˝o inequality and bounds of initial coefficients are our main results. Though our main results have lots of applications, here we have highlighted the results associated with the conic regions as applications of main results.
Keywords: Convex function, Fekete-Szeg˝o inequality, Multiplicative derivative, quantumderivative, Starlike function, subordination
Received: 29 Dec 2025; Accepted: 04 Feb 2026.
Copyright: © 2026 Breaz, R Karthikeyan and Mohankumar. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Kadhavoor R Karthikeyan
Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.