Some properties of analytic univalent functions group

Hanoon, Wafaa H.; Darweesh, Amal Mohammed; Atshan, Waggas Galib; Theyab, Sarab Dakhil

doi:10.47974/JIM-1735

Open Access Research Article

Some properties of analytic univalent functions group

^*Wafaa H. HanoonCorresponding authorwafaah.hannon@uokufa.edu.iqDepartment of Mathematics Faculty of Education University of KufaNajaf, Iraq0000-0002-3543-7814View full profile → , Amal Mohammed Darweeshamalm.alhareezi@uokufa.edu.iqDepartment of Mathematics Faculty of Education for Girls University of KufaNajaf, IraqView full profile → , Waggas Galib AtshanDepartment of Mathematics Faculty of Science University of Al-QadisiyahDiwaniyah, IraqView full profile → , Sarab Dakhil TheyabDepartment of Mathematics Faculty of Education for Girls University of KufaNajaf, IraqView full profile →

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pp. 643–647Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1735XML

Received:: 10 Oct 2023
Published Online:: 31 May 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1735
Pages:: 643–647

Abstract

This research investigates the properties of an analytical univalent functions group (S, *) of the following form: f(z) = z + ∑∞k=2 ak zk, ak ∈ R Some facts and theorems regarding this group are provided where (*) is the Hadmard product operation (or convolution). More evidence is offered for the isomorphism of the groups (S, *) and (R-{0}, ∙).

Keywords

Analytic univalent functions Isomorphic groups

Subject Classifications

11E4511P82

References

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