Convexity Properties for Integro‑Differential Operators Proposed by Hurwitz-Lerch Zeta Type Functions

Layth T. Khudhuir; Ahmed M. Ali; Hiba F. Al-Janaby

doi:10.24996/ijs.2023.64.12.31

Authors

Layth T. Khudhuir Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Ahmed M. Ali Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Hiba F. Al-Janaby Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0003-0782-3870

DOI:

https://doi.org/10.24996/ijs.2023.64.12.31

Keywords:

Analytic function, Convex function, Hurwitz–Lerch zeta function, Star-like function

Abstract

In this paper, new integro-differential operators are introduced that defined by Salagean’s differential operator. The major object of the present study is to investigate convexity properties on new geometric subclasses included these new operators.