Abstract: Many graph polynomials, such as the Tutte polynomial, the interlace polynomial and the matching polynomial, have both a recursive definition and a defining subset expansion formula. In this ...

Abstract: In this paper we used a new class of special polynomials which satisfy a Sturm Liouville differential equation of second order. These polynomials form a basis of a polynomial space. Using ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

This implies that there are natural correspondences between the spaces of cusp forms on \Gamma_0 (2) and the spaces of period polynomials. Based on these results, we will find explicit form of Hecke ...

A console application that outputs multiple-angle formulas and trigonometric identities given the multiplier and a specific format. This repository contains two functionally the same applications, one ...

There are $${n}$$ elementary symmetric polynomials for $${n}$$ variables $${x_1, x_2, \ldots, x_n}$$. $${\displaystyle e_1 = \sum_{i} x_i = x_1 + x_2 + \cdots + x_n ...

ABSTRACT: This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and ...

Get here all formulas for CBSE Class 10 Maths Chapter 2 - Polynomials. Besides formulas, all the definitions, theorems and properties from the chapter can also be revised in a short time by going ...

Vieta's formulas - Solving the Algebrical equations to find out the roots of a polynomial. Vieta's formulas relate the coefficients of a polynomial to the sums and products of its roots. They allow ...

ABSTRACT: The main purpose of this paper is to introduce the matrix extension of the pseudo Laguerre matrix polynomials and to explore the formal properties of the operational rules and the principle ...

Since Zhegalkin polynomials have a finite number of possible monomials and all coefficients are either 1 or 0, one way to represent them for calculations would be as an integer with 1 bit set for the ...