Title of article :
Escape criteria for one parameter family of complex functions fk(z)=kcsc(z) via non-standard iterations
Author/Authors :
Hussain, Iman A. Department of Mathematics and Computer Applications - College of Science - Al-Nahrain University, Iraq , Zaki Jamil, Zeana Department of Mathematics - College of Science - Baghdad University, Iraq , Hamada, Nuha H. Al Ain University, Abu Dhabi, UAE
Abstract :
In this research we stated and proved the some escape criteria theorems of the one parameter family of the transcendental meromorphic-functions F={fk(z)=k csc(z):k∈C and z∈C}. 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].
Keywords :
Escape criteria , meromorphic functions , transcendental functions , Mann iteration , Ishikawa iteration , Noor iteration
Journal title :
International Journal of Nonlinear Analysis and Applications
