Open AccessOn the Dynamics of One Parameter Family of Functions f_k (x)=kcsc(x)
Author(s) -
Iman A. Hussain,
Zeana Zaki Jamil,
Nuha Hamada
Publication year - 2022
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2022.63.2.29
Subject(s) - meromorphic function , fixed point , dynamics (music) , mathematics , convergence (economics) , sequence (biology) , point (geometry) , pure mathematics , discrete mathematics , mathematical analysis , physics , geometry , economics , biology , acoustics , genetics , economic growth
In this research, we study the dynamics of one parameter family of meromorphic functions . Furthermore, we describe the nature of fixed points of the functions in ,and we explain the numbers of real fixed points depending on the critical point . So, we develop some necessary conditions for the convergence of the sequence when .