Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration
In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers. Also, we explore the effect of involved parameters on...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2592573 |
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| _version_ | 1832553652054654976 |
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| author | Nihal Özgür Swati Antal Anita Tomar |
| author_facet | Nihal Özgür Swati Antal Anita Tomar |
| author_sort | Nihal Özgür |
| collection | DOAJ |
| description | In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers. Also, we explore the effect of involved parameters on the deviance of color, appearance, and dynamics of generated fractals. It is well known that fractal geometry portrays the complexity of numerous complicated shapes in our surroundings. In fact, fractals can illustrate shapes and surfaces which cannot be described by the traditional Euclidean geometry. |
| format | Article |
| id | doaj-art-fd178e873a884602b3111116dcb36650 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fd178e873a884602b3111116dcb366502025-02-03T05:53:34ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2592573Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann IterationNihal Özgür0Swati Antal1Anita Tomar2Faculty of Arts and ScienceArmy Cadet CollegeSri Dev Suman Uttrakhand UniversityIn this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers. Also, we explore the effect of involved parameters on the deviance of color, appearance, and dynamics of generated fractals. It is well known that fractal geometry portrays the complexity of numerous complicated shapes in our surroundings. In fact, fractals can illustrate shapes and surfaces which cannot be described by the traditional Euclidean geometry.http://dx.doi.org/10.1155/2022/2592573 |
| spellingShingle | Nihal Özgür Swati Antal Anita Tomar Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration Journal of Function Spaces |
| title | Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration |
| title_full | Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration |
| title_fullStr | Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration |
| title_full_unstemmed | Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration |
| title_short | Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration |
| title_sort | julia and mandelbrot sets of transcendental function via fibonacci mann iteration |
| url | http://dx.doi.org/10.1155/2022/2592573 |
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