Study of New-Fangled Julia Sets Controlled by TAN Function

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Suraj Singh Panwar

Abstract

In this paper we consider the dynamics of complex transcendental function i.e. tan function using iterative procedure known as Ishikawa Method. Fractals are created and examined for integer and non-integer values. New Julia sets are generated for different values of parameters defined by Ishikawa iteration and transcendental controlled function. Here different dendrites, spiral lobes are considered and our study relies on the analysis of Julia sets.

Keywords: Julia Sets, Fractals, Ishikawa iteration, Complex Numbers, Transcendental function.

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