International Journal of Nonlinear Analysis and Applications
A new univalent integral operator defined by the Opoola differential operator
Document Type : Research Paper
Authors
1 Department of Mathematics, Gombe State University, P.M.B. 127, Gombe, Nigeria
2 Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria
Abstract
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.
Keywords
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Volume 15, Issue 8
August 2024Pages 53-64
- Receive Date: 25 May 2023
- Accept Date: 15 June 2023