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- Rana Asst Rajeshri, Professor, Yashwant S Chauhan, Asst Professor, 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, Asst Professor, Rana Asst Rajeshri, Professor, 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.

- Rana Asst Rajeshri, Professor, Yashwant S Chauhan, Asst Professor, 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<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)

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)

- Rajeshri Rana, Yashwant Singh Chauhan, Ashish Negi, G B Pant
- 2011

The generation of fractals and study of the dynamics of transcendental function is one of emerging and interesting field of research nowadays. We introduce in this paper the complex dynamics of sine function of the type {sin() }, n z c where 2 n and applied Ishikawa iteration to generate new Relative Superior Mandelbrot set and Relative Superior Julia… (More)

- Ashish Negi, Ankit Garg
- 2014

Today Fractal geometry is completely new area of research in the field of computer science and engineering. It has wide range of applications. Fractals in nature are so complicated and irregular that it is hopeless to model them by simply using classical geometry objects. Benoit Mandelbrot, the father of fractal geometry, from his book The Fractal Geometry… (More)