Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials
نویسندگان
چکیده
We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property in this paper. By giving q-varying variations, we identify the shape approximate roots polynomials, solution order, find conjectures associated with them. Furthermore, based on create Mandelbrot set Julia variety figures.
منابع مشابه
IDENTITIES OF SYMMETRY FOR THE HIGHER ORDER q-BERNOULLI POLYNOMIALS
Abstract. The study of the identities of symmetry for the Bernoulli polynomials arises from the study of Gauss’s multiplication formula for the gamma function. There are many works in this direction. In the sense of p-adic analysis, the q-Bernoulli polynomials are natural extensions of the Bernoulli and Apostol-Bernoulli polynomials (see the introduction of this paper). By using the N-fold iter...
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1 Department of Mathematics and Computer Science, KonKuk University, Chungju 138-70, Republic of Korea 2 Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea 3 Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysore 570# 005, India 4 Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea 5 Department of ...
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6060296