Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682220230916A new univalent integral operator defined by the Opoola differential operator816410.22075/ijnaa.2023.30730.4477ENBitrusSamboDepartment of Mathematics, Gombe State University, P.M.B. 127, Gombe, Nigeria0009-0001-2870-462XTimothy OloyedeOpoolaDepartment of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, NigeriaJournal Article20230525In this investigation, using Opoola differential operator ($D^{m}(\mu,\beta,t)f(z)$), a new integral operator: $I_{t,\beta,\mu}^{m,\sigma}(f_{1},...,f_{n})(z): A^{n}\rightarrow A$ is defined in the unit disk, $U=\left\lbrace z\in C:\left|z\right|<1\right\rbrace$; and we investigated the Univalence conditions of this generalized operator. Finally, a number of corollaries and remarks which show the extension of our results are presented.https://ijnaa.semnan.ac.ir/article_8164_3e5efd52b8a4f8a6e53b8fa69ddc14db.pdf