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A new univalent integral operator defined by the Opoola differential operator.

Authors :
Sambo, Bitrus
Opoola, Timothy Oloyede
Source :
International Journal of Nonlinear Analysis & Applications; Aug2024, Vol. 15 Issue 8, p53-64, 12p
Publication Year :
2024

Abstract

In this investigation, using Opoola differential operator (D<superscript>m</superscript>(µ, β, t)f(z)), a new integral operator: I <superscript>m,σ</superscript><subscript> t,β,µ</subscript>(f<subscript>1</subscript>, ..., f<subscript>n</subscript>)(z) : A<superscript>n</superscript> → A is defined in the unit disk, U = {z ∈ C : |z| < 1}; 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20086822
Volume :
15
Issue :
8
Database :
Complementary Index
Journal :
International Journal of Nonlinear Analysis & Applications
Publication Type :
Academic Journal
Accession number :
178407133
Full Text :
https://doi.org/10.22075/ijnaa.2023.30730.4477