Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

Abstract: This paper presents stability analysis of polynomial fuzzy-model-based (FMB) control systems using the sum-of-squares (SOS) approach. Recently, stability analysis of the polynomial ...

Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several ...

Abstract: The paper studies a new polynomial representation of Multi Output Functions (MOFs). The new representation, called GITE-polynomials, is based on a newly introduced Generalized If-Then-Else ...

The Derivative Helper will derive any polynomials the user inputs and even graph it to give a visual aid. The user will input a function, such as y=3x^3+2x^2-x+6, in a GUI that will contain intuitive ...

Department of Electronics Engineering, Indian Institute of Technology (ISM), Dhanbad, India In this paper, a landmark based approach, using five different interpolating polynomials (linear, cubic ...

Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China. Department of Mathematics, Southwest University of Science and Technology, Mianyang, China ...

A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the ...

The original code is as old as from 1995 and was written by Gerhard Krucker (see http://www.krucker.ch/skripten-uebungen/IAMSkript/IAMKap3.pdf#page=14). So all ...

We give explicit representations of the coefficients of p-valent functions which are polynomials of univalent functions of the class S. With their help we prove the Goodman conjecture in the special ...