Dynamics of certain one-parameter and two-parameter families of transcendental functions

Abstract

In the Ph.D thesis, we investigated the dynamics of some one-parameter and two-parameter family of transcendental functions.In Chapter 2, for b 1, the dynamics of function in the two-parameter family , { ( ) z z for : , 0} b f z b b z ï ¬ ï ­ F  ï€½ï ¬  ï ­   ï ¬ ï ­  is investigated. On the real line ï‚¡ , the existence and nature of the fixed points are described. The dynamical behaviour of , fï ¬ ï ­ is exhibited on the real line. The dynamics of , fï ¬ ï ­ on the extende