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Complex Dynamics of Jungck Ishikawa Iterates for Hyperbolic Cosine Function

by Suman Pant, Yashwant S Chauhan, Priti Dimri
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 101 - Number 4
Year of Publication: 2014
Authors: Suman Pant, Yashwant S Chauhan, Priti Dimri
10.5120/17674-8506

Suman Pant, Yashwant S Chauhan, Priti Dimri . Complex Dynamics of Jungck Ishikawa Iterates for Hyperbolic Cosine Function. International Journal of Computer Applications. 101, 4 ( September 2014), 14-23. DOI=10.5120/17674-8506

@article{ 10.5120/17674-8506,
author = { Suman Pant, Yashwant S Chauhan, Priti Dimri },
title = { Complex Dynamics of Jungck Ishikawa Iterates for Hyperbolic Cosine Function },
journal = { International Journal of Computer Applications },
issue_date = { September 2014 },
volume = { 101 },
number = { 4 },
month = { September },
year = { 2014 },
issn = { 0975-8887 },
pages = { 14-23 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume101/number4/17674-8506/ },
doi = { 10.5120/17674-8506 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:30:48.041608+05:30
%A Suman Pant
%A Yashwant S Chauhan
%A Priti Dimri
%T Complex Dynamics of Jungck Ishikawa Iterates for Hyperbolic Cosine Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 101
%N 4
%P 14-23
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The dynamics of transcendental function is one of emerging and interesting field of research nowadays. We introduce in this paper the complex dynamics of hyperbolic cosine function of the type {cosh (zn ) + z + c = 0} and applied Jungck Ishikawa iteration to generate new Relative Superior Mandelbrot set and Relative Superior Julia set. In order to solve this function by Jungck –type iterative schemes, we write it in the form of Sz = Tz, where the function T, S are defined as Tz = cosh( zn ) +c and Sz = - z. Only mathematical explanations are derived by applying Jungck Ishikawa Iteration for transcendental function in the literature but in this paper we have generated relative Mandelbrot sets and Relative Julia sets.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Complex dynamics Relative Superior Mandelbrot set Relative Julia set Jungck Ishikawa Iteration

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