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Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials
| Content Provider | MDPI |
|---|---|
| Author | Ryoo, Cheon-Seoung Kang, Jung-Yoog |
| Copyright Year | 2022 |
| Description | We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property of q-differential equations of higher order in this paper. By giving q-varying variations, we identify the shape of the approximate roots of q-Bernoulli polynomials, a solution of q-differential equations of higher order, and find several conjectures associated with them. Furthermore, based on q-Bernoulli polynomials, we create a Mandelbrot set and a Julia set to find a variety of related figures. |
| Starting Page | 296 |
| e-ISSN | 25043110 |
| DOI | 10.3390/fractalfract6060296 |
| Journal | Fractal and Fractional |
| Issue Number | 6 |
| Volume Number | 6 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-05-28 |
| Access Restriction | Open |
| Subject Keyword | Fractal and Fractional Q-bernoulli Polynomials Q-difference Equation of Higher Order Mandelbrot Set Julia Set |
| Content Type | Text |
| Resource Type | Article |
