Abstract
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 .
Highlights
Fixed point theory works as an essential tool for different branches of mathematical analysis and its applications
The real dynamics of functions has been explained by Devaney [1], [2], Fadil [3] and Sajid [4],while, Akbari and Rabii [5], Magrenan and Gutierrez [6] and Radwan
Faris [8] has discussed the dynamics of one parameter families
Summary
Fixed point theory works as an essential tool for different branches of mathematical analysis and its applications. We describe the behavior of the fixed points of the one parameter family of transcendental meromorphic functions. A fixed point of must satisfy the equation ( ) . The following propositions describe the number of fixed points of with respect to .
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