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 ...

One of our formulas for Jμ specializes to a formula of Sahi and Knop for Jack polynomials. As additional applications of our combinatorial formulas, we sketch derivations of one of Macdonald's ...

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 ...

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 ...

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 ...

Using open-source project sympy, this project expounds mathematical proofs into discovered formulas working for polynomials of degrees 3 and 4. Also creates documentation scripts to make higher polies ...

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 ...

Hodge theory connects the geometry of algebraic varieties to their topological properties via the Hodge decomposition and Hodge diamond. It has been central to developments in mirror symmetry, ...

ABSTRACT: In this note, we first derive an exponential generating function of the alternating run polynomials. We then deduce an explicit formula of the alternating run polynomials in terms of the ...

Analytic closed form expressions for orthonormal polynomials exhibiting both rotational and Gaussian symmetries are derived for both circular and elliptical geometries. They exhibit a close ...