Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process
Biomorphs are graphic objects with very interesting shapes resembling unicellular and microbial organisms such as bacteria. They have applications in different fields like medical science, art, painting, engineering and the textile industry. In this paper, we present for the first time escape criter...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/12/2172 |
| _version_ | 1827700701446275072 |
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| author | Lateef Olakunle Jolaoso Safeer Hussain Khan |
| author_facet | Lateef Olakunle Jolaoso Safeer Hussain Khan |
| author_sort | Lateef Olakunle Jolaoso |
| collection | DOAJ |
| description | Biomorphs are graphic objects with very interesting shapes resembling unicellular and microbial organisms such as bacteria. They have applications in different fields like medical science, art, painting, engineering and the textile industry. In this paper, we present for the first time escape criterion results for general complex polynomials containing quadratic, cubic and higher order polynomials. We do so by using a more general iteration method also used for the first time in this field. This also generalizes some previous results. Then, biomorphs are generated using an algorithm whose pseudocode is included. A visualization of the biomorphs for certain polynomials is presented and their graphical behaviour with respect to variation of parameters is examined. |
| first_indexed | 2024-03-10T14:18:41Z |
| format | Article |
| id | doaj.art-a9ece1b44ece44b19864a08f597b6f27 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T14:18:41Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a9ece1b44ece44b19864a08f597b6f272023-11-20T23:35:44ZengMDPI AGMathematics2227-73902020-12-01812217210.3390/math8122172Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration ProcessLateef Olakunle Jolaoso0Safeer Hussain Khan1Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South AfricaDepartment of Mathematics, Statistics and Physics, Qatar University, Doha 2713, QatarBiomorphs are graphic objects with very interesting shapes resembling unicellular and microbial organisms such as bacteria. They have applications in different fields like medical science, art, painting, engineering and the textile industry. In this paper, we present for the first time escape criterion results for general complex polynomials containing quadratic, cubic and higher order polynomials. We do so by using a more general iteration method also used for the first time in this field. This also generalizes some previous results. Then, biomorphs are generated using an algorithm whose pseudocode is included. A visualization of the biomorphs for certain polynomials is presented and their graphical behaviour with respect to variation of parameters is examined.https://www.mdpi.com/2227-7390/8/12/2172bimorphsiterationescape criterion |
| spellingShingle | Lateef Olakunle Jolaoso Safeer Hussain Khan Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process Mathematics bimorphs iteration escape criterion |
| title | Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process |
| title_full | Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process |
| title_fullStr | Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process |
| title_full_unstemmed | Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process |
| title_short | Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process |
| title_sort | some escape time results for general complex polynomials and biomorphs generation by a new iteration process |
| topic | bimorphs iteration escape criterion |
| url | https://www.mdpi.com/2227-7390/8/12/2172 |
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