Tricorns and Multicorns in Noor Orbit with s-Convexity

Young Chel Kwun; Abdul Aziz Shahid; Waqas Nazeer; Saad Ihsan Butt; Mujahid Abbas; Shin Min Kang

doi:10.1109/ACCESS.2019.2928796

Tricorns and Multicorns in Noor Orbit with s-Convexity

Young Chel Kwun
, Abdul Aziz Shahid
, Waqas Nazeer
, Saad Ihsan Butt
, Mujahid Abbas
, Shin Min Kang

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

In today's world, complex patterns of the dynamical framework have astounding highlights of fractals and become a huge field of research because of their beauty and unpredictability of their structure. The purpose of this paper is to visualize anti-Julia sets, tricorns, and multicorns by means of the Noor iteration with s-convexity. Various patterns are displayed to investigate the geometry of antifractals for antipolynomial zk+1 C cof complex polynomial zk+1 C, for k ≥ 1 in Noor orbit with s-convexity.

Original language	English
Article number	8762159
Pages (from-to)	95297-95304
Number of pages	8
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2019.2928796
Publication status	Published - 2019
Externally published	Yes

Keywords

escape criterion
Julia set
Noor iteration
s-convexity
tricorn

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2019.2928796

Cite this

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title = "Tricorns and Multicorns in Noor Orbit with s-Convexity",

abstract = "In today's world, complex patterns of the dynamical framework have astounding highlights of fractals and become a huge field of research because of their beauty and unpredictability of their structure. The purpose of this paper is to visualize anti-Julia sets, tricorns, and multicorns by means of the Noor iteration with s-convexity. Various patterns are displayed to investigate the geometry of antifractals for antipolynomial zk+1 C cof complex polynomial zk+1 C, for k ≥ 1 in Noor orbit with s-convexity.",

keywords = "escape criterion, Julia set, Noor iteration, s-convexity, tricorn",

author = "Kwun, \{Young Chel\} and Shahid, \{Abdul Aziz\} and Waqas Nazeer and Butt, \{Saad Ihsan\} and Mujahid Abbas and Kang, \{Shin Min\}",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

doi = "10.1109/ACCESS.2019.2928796",

language = "English",

volume = "7",

pages = "95297--95304",

journal = "IEEE Access",

issn = "2169-3536",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Tricorns and Multicorns in Noor Orbit with s-Convexity

AU - Kwun, Young Chel

AU - Shahid, Abdul Aziz

AU - Nazeer, Waqas

AU - Butt, Saad Ihsan

AU - Abbas, Mujahid

AU - Kang, Shin Min

PY - 2019

Y1 - 2019

N2 - In today's world, complex patterns of the dynamical framework have astounding highlights of fractals and become a huge field of research because of their beauty and unpredictability of their structure. The purpose of this paper is to visualize anti-Julia sets, tricorns, and multicorns by means of the Noor iteration with s-convexity. Various patterns are displayed to investigate the geometry of antifractals for antipolynomial zk+1 C cof complex polynomial zk+1 C, for k ≥ 1 in Noor orbit with s-convexity.

AB - In today's world, complex patterns of the dynamical framework have astounding highlights of fractals and become a huge field of research because of their beauty and unpredictability of their structure. The purpose of this paper is to visualize anti-Julia sets, tricorns, and multicorns by means of the Noor iteration with s-convexity. Various patterns are displayed to investigate the geometry of antifractals for antipolynomial zk+1 C cof complex polynomial zk+1 C, for k ≥ 1 in Noor orbit with s-convexity.

KW - escape criterion

KW - Julia set

KW - Noor iteration

KW - s-convexity

KW - tricorn

UR - https://www.scopus.com/pages/publications/85070230364

U2 - 10.1109/ACCESS.2019.2928796

DO - 10.1109/ACCESS.2019.2928796

M3 - Article

AN - SCOPUS:85070230364

SN - 2169-3536

VL - 7

SP - 95297

EP - 95304

JO - IEEE Access

JF - IEEE Access

M1 - 8762159

ER -

Tricorns and Multicorns in Noor Orbit with s-Convexity

Abstract

Keywords

ASJC Scopus subject areas

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