Escape criteria for one parameter family of complex functions fk(z)=kcsc(z) via non-standard iterations

Author(s):

Iman A. Hussain , Zeana Zaki Jamil , Nuha H. Hamada

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 1, Winter-Spring 2022
Pages:
1537 to 1543
https://www.magiran.com/p2360077