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

Abstract

In this paper, we define (p,q)-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 p and q.

Keywords

• (<i>p</i>,<i>q</i>)-cosine sigmoid polynomials
• (<i>p</i>,<i>q</i>)-sine sigmoid polynomials
• approximate roots
• Mandelbrot set
• Julia set