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 ...

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 ...

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 ...

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 ...

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

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 ...

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 ...

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 ...

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 ...