Phenomenon of Scattering of Zeros of the (<i>p</i>,<i>q</i>)-Cosine Sigmoid Polynomials and (<i>p</i>,<i>q</i>)-Sine Sigmoid Polynomials

Phenomenon of Scattering of Zeros of the (<i>p</i>,<i>q</i>)-Cosine Sigmoid Polynomials and (<i>p</i>,<i>q</i>)-Sine Sigmoid Polynomials

In this paper, we define <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></sema...

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Bibliographic Details
Main Authors:	Cheon Seoung Ryoo, Jung Yoog Kang
Format:	Article
Language:	English
Published:	MDPI AG 2021-11-01
Series:	Fractal and Fractional
Subjects:	(<i>p</i>,<i>q</i>)-cosine sigmoid polynomials (<i>p</i>,<i>q</i>)-sine sigmoid polynomials approximate roots Mandelbrot set Julia set
Online Access:	https://www.mdpi.com/2504-3110/5/4/245

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Summary:	In this paper, we define <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-cosine and sine sigmoid polynomials. Based on this, the properties of each polynomial, and the structure and assumptions of its roots, can be identified. Properties can also be determined by the changes in <i>p</i> and <i>q</i>.
ISSN:	2504-3110