A new univalent integral operator defined by the Opoola differential operator

نویسندگان

1 Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria

2 Department of Mathematics, Gombe State University, P.M.B. 127, Gombe, Nigeria

doi
10.22075/ijnaa.2023.30730.4477
چکیده

In 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.