Escape criteria for one parameter family of complex functions \(\mathbf{f}_{\mathbf{k}}\left( \mathbf{z}\right)\mathbf{=}\mathbf{\text{kcsc}}\left( \mathbf{z} \right)\) via non-standard iterations

	Escape criteria for one parameter family of complex functions \(\mathbf{f}_{\mathbf{k}}\left( \mathbf{z}\right)\mathbf{=}\mathbf{\text{kcsc}}\left( \mathbf{z} \right)\) via non-standard iterations
International Journal of Nonlinear Analysis and Applications
مقاله 126، دوره 13، شماره 1، خرداد 2022، صفحه 1537-1543 اصل مقاله (367.87 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5769
نویسندگان
Iman A. Hussain^* ¹؛ Zeana Zaki Jamil²؛ Nuha H. Hamada³
¹Department of Mathematics and Computer Applications College of Science, Al-Nahrain University, Iraq
²Department of Mathematics, College of Science, Baghdad University, Iraq
³Al Ain University, Abu Dhabi, UAE
چکیده
In this research we stated and proved the some escape criteria theorems of the one parameter family of the transcendental meromorphic-functions \(F\mathbf{=}\left\{ f_{k}\left( z \right) = k\ csc\left( z \right):k\mathbb{\in C\ }\text{and}\text{\ z}\mathbb{\in C} \right\}\). Furthermore, we used non-standard iterations: Mann, Ishikawa and Noor iterations in the complex plane. This research can be considered as an extension of [1].
کلیدواژه‌ها
Escape criteria؛ meromorphic functions؛ transcendental functions؛ Mann iteration؛ Ishikawa iteration؛ Noor iteration
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