مشروع البحث:
Using Halley`s Method as Iteration of Rational Function

dc.contributor.advisorد.عمر اسماعيل الحصادي
dc.date.accessioned2024-11-27T08:31:13Z
dc.date.available2024-11-27T08:31:13Z
dc.descriptionAll titles that we discussed in this work became easier to understand. In addition, we have shown some figures for more understanding, and we have shown how we can select the Julia set and Fatou set in some examples with figures to show the regions of these sets. Moreover, some examples have been given to show how we can find the fixed and critical points, and also we view other examples to understand the iteration of rational functions. also, this work included some theorems with their proof to go deeper and understand some ideas in this work.
dc.description.abstractABSTRACT The purpose of this study was to shed some light on rational maps. In particular, It aims to study some iterations of rational function and what results from that iteration where’s iteration of rational function the level is divided in to areas of attraction and areas of repulsion and is called Fatou set, the barrier between them moves in a confused manner and is called Julia sets. also to study the rational function, and analytic function with some discussion to understand their properties and their conditions. This research attempted to deal with the Iterations of the polynomial which included some examples of different polynomials. Moreover, the research goes deeper into the study of the Halley’s iteration function.
dc.identifier2317
dc.identifier.urihttps://dspace.academy.edu.ly/handle/123456789/404
dc.subjectUsing Halley`s Method as Iteration of Rational Function
dc.titleUsing Halley`s Method as Iteration of Rational Function
dspace.entity.typeProject
project.endDate2023
project.funder.nameالرياضيات
project.investigatorوفاء سالم المحروق
project.startDate2022
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