Tricorns and Multicorns in Noor Orbit With s-Convexity
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8762159/ |
| _version_ | 1811211887745957888 |
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| author | Young Chel Kwun Abdul Aziz Shahid Waqas Nazeer Saad Ihsan Butt Mujahid Abbas Shin Min Kang |
| author_facet | Young Chel Kwun Abdul Aziz Shahid Waqas Nazeer Saad Ihsan Butt Mujahid Abbas Shin Min Kang |
| author_sort | Young Chel Kwun |
| collection | DOAJ |
| description | 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 <inline-formula> <tex-math notation="LaTeX">$\overline {z}^{k+1}+c$ </tex-math></inline-formula> of complex polynomial <inline-formula> <tex-math notation="LaTeX">$z^{k+1}+c$ </tex-math></inline-formula>, for <inline-formula> <tex-math notation="LaTeX">$k\geq 1$ </tex-math></inline-formula> in Noor orbit with s-convexity. |
| first_indexed | 2024-04-12T05:20:01Z |
| format | Article |
| id | doaj.art-2505109923664067bc2b45800a98f6ed |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T05:20:01Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-2505109923664067bc2b45800a98f6ed2022-12-22T03:46:29ZengIEEEIEEE Access2169-35362019-01-017952979530410.1109/ACCESS.2019.29287968762159Tricorns and Multicorns in Noor Orbit With s-ConvexityYoung Chel Kwun0Abdul Aziz Shahid1Waqas Nazeer2https://orcid.org/0000-0002-5488-0467Saad Ihsan Butt3Mujahid Abbas4Shin Min Kang5Department of Mathematics, Dong-A University, Busan, South KoreaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDivision of Science and Technology, University of Education, Lahore, PakistanDepartment of Mathematics, COMSATS University, Lahore, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanDepartment of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju, South KoreaIn 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 <inline-formula> <tex-math notation="LaTeX">$\overline {z}^{k+1}+c$ </tex-math></inline-formula> of complex polynomial <inline-formula> <tex-math notation="LaTeX">$z^{k+1}+c$ </tex-math></inline-formula>, for <inline-formula> <tex-math notation="LaTeX">$k\geq 1$ </tex-math></inline-formula> in Noor orbit with s-convexity.https://ieeexplore.ieee.org/document/8762159/Noor iterations-convexityJulia settricornescape criterion |
| spellingShingle | Young Chel Kwun Abdul Aziz Shahid Waqas Nazeer Saad Ihsan Butt Mujahid Abbas Shin Min Kang Tricorns and Multicorns in Noor Orbit With s-Convexity IEEE Access Noor iteration s-convexity Julia set tricorn escape criterion |
| title | Tricorns and Multicorns in Noor Orbit With s-Convexity |
| title_full | Tricorns and Multicorns in Noor Orbit With s-Convexity |
| title_fullStr | Tricorns and Multicorns in Noor Orbit With s-Convexity |
| title_full_unstemmed | Tricorns and Multicorns in Noor Orbit With s-Convexity |
| title_short | Tricorns and Multicorns in Noor Orbit With s-Convexity |
| title_sort | tricorns and multicorns in noor orbit with s convexity |
| topic | Noor iteration s-convexity Julia set tricorn escape criterion |
| url | https://ieeexplore.ieee.org/document/8762159/ |
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