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- Yashwant S Chauhan, Rajeshri Rana, Ashish Negi
- 2010

We investigate in this paper the dynamics and the method of generating fractal images for Ishikawa iteration procedure. The geometry of relative superior Julia sets are explored for Ishikawa iteration.

- Yashwant S Chauhan, Rajeshri Rana, Ashish Negi, Y. S. Chauhan, R. Rana, S. Dhurandar +2 others
- 2010

We explore in this paper the dynamics of the complex function for non integer values, using the Ishikawa iterates. The z plane fractal images are studied for positive powers of the complex function while c plane fractals are analyzed for negative powers of the complex function.

- Rajeshri Rana, Pauri Garhwal, Yashwant S Chauhan, Ashish Negi
- 2010

We introduce in this paper the dynamics for Ishikawa iteration procedure. The geometry of Relative Superior Mandelbrot sets are explored for Ishikawa iterates.

- Yashwant S Chauhan, Rajeshri Rana, Ashish Negi
- 2010

We introduce in this paper the dynamics of Relative Superior Mandel-bar sets of inverse complex function for Ishikawa iteration. The z plane fractal images generated from the generalized transformation function 1 () n z z c for 2 n are analyzed.

- Rajeshri Rana, Pauri Garhwal, Yashwant S Chauhan, Ashish Negi
- 2011

In this paper the dynamics of the complex logarithmic function is investigated using the Ishikawa iterates. The fractal images generated from the generalized transformation function log() n z z c , 2 n are analyzed.

- Sunil Shukla, Ashish Negi
- 2013

In this paper we have presented the complex dynamics of Newbie fractal controlled by log function using Superior iterates. We have introduced the new fractal based on new function named as newbie fractal. This function is the variant of Mandelbrot function. These fractals are governed by initial controlled functions such as sin, cos, log, tan, conj, abs etc.

These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions. Earlier, Ishikawa iteration has been applied to these equations and generate new fractals named as Relative Superior Mandelbrot Set with… (More)

Antipolynomial of a complex polynomial is generated by applying iteration on a function z d +c for d>=2. This complex function has been intense area for researcher. If we use transcendental function like sine, cosine etc with antipolynomial, i.e. cos (z d +c), it becomes a more elite area to design beautiful images of fractal. The purpose of this paper is… (More)

Antipolynomial of a complex polynomial is generated by applying iteration on a function z<sup><i>d</i></sup><i>+c</i> for <i>d</i>>=2. This complex function has been intense area for researcher. If we use transcendental function like sine, cosine etc with antipolynomial, i.e. <i>sin z</i><sup><i>d</i></sup><i>+c</i>, it becomes a more elite area to… (More)