Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process

Lateef Olakunle Jolaoso and Safeer Hussain Khan
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Lateef Olakunle Jolaoso: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa
Safeer Hussain Khan: Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

Mathematics, 2020, vol. 8, issue 12, 1-18

Abstract: 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.

Keywords: bimorphs; iteration; escape criterion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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