Polynomials | Special functions

Neumann polynomial

In mathematics, the Neumann polynomials, introduced by Carl Neumann for the special case , are a sequence of polynomials in used to expand functions in term of Bessel functions. The first few polynomials are A general form for the polynomial is and they have the "generating function" where J are Bessel functions. To expand a function f in the form for , compute where and c is the distance of the nearest singularity of from . (Wikipedia).

Video thumbnail

Classifying a polynomial based on its degree and number of terms

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Determining if a equation is a polynomial or not

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Classify a polynomial then determining if it is a polynomial or not

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

How to reorder and classify a polynomial based on it's degree and number of terms

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

[Lesson 26] QED Prerequisites Scattering 3: The radial wave function of a free particle

In this lesson we explore the spherical Bessel, Neuman, and Hankel functions which are all critical to our understanding of scattering theory. We will just accept the standard solutions, and explore the properties of the functions, except for the most important property: their asymptotic f

From playlist QED- Prerequisite Topics

Video thumbnail

Labeling a polynomial based on the degree and number of terms

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - M.Brannan

Michael Brannan (College station) / 12.09.17 Title: Entangled subspaces from quantum groups and their associated quantum channels. Abstract:I will describe a class of highly entangled subspaces of bipartite quantum systems arising from the representation theory of a class of compact quan

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

Michael Hartglass: Graphs and standard invariants as compact quantum metric spaces

Michael Hartglass: Graphs (and standard invariants) as compact quantum metric spaces. Abstract: Given a weighted graph, I will construct a "loop algebra" associated to the graph, and will discuss how it forms a compact quantum metric space in the sense of Rieffel. I will then present an a

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

Video thumbnail

Alexander Veselov: Geodesic scattering on hyperboloids

HYBRID EVENT Recorded during the meeting "Differential Geometry, Billiards, and Geometric Optics" the October 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathemat

From playlist Dynamical Systems and Ordinary Differential Equations

Video thumbnail

How to classify a polynomial by it's degree and number of terms

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Patrick Popescu Pampu: A proof of Neumann-Wahl Milnor fibre Conjecture via logarithmic...- Lecture 1

HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 06, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given

From playlist Algebraic and Complex Geometry

Video thumbnail

How to classify and determine lc degree of a polynomial

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Ch4 Pr4: Taylor Polynomial of a polynomial

The Taylor Polynomial to a function about x=a is a polynomial expressed in powers of (x-a). This example is from Chapter 4 Problem 4a,b in the MATH1231/1241 Calculus notes. Presented by Dr Daniel Mansfield from the UNSW School of Mathematics and Statistics.

From playlist Mathematics 1B (Calculus)

Video thumbnail

Learn how to identify if a function is a polynomial and identify the degree and LC

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Stability of amenable groups via ergodic theory - Arie Levit

Stability and Testability Topic: Stability of amenable groups via ergodic theory Speaker: Arie Levit Affiliation: Yale University Date: January 27, 2021 For more video please visit http://video.ias.edu

From playlist Stability and Testability

Video thumbnail

Perla El Kettani - Phase transitions in low-rank matrix estimation

Joint work with Marc Lelarge We consider the estimation of noisy low-rank matrices. Our goal is to compute the minimal mean square error (MMSE) for this statistical problem. We will observe a phase transition: there exists a critical value of the signal-to-noise ratio above which it is pos

From playlist Les probabilités de demain 2017

Video thumbnail

Learning the basics of classifying polynomials based on degree and number of terms

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Em Thompson: Describing Deformations

Em Thompson, Monash University Title: Describing Deformations The deformation variety of a hyperbolic knot parametrises the hyperbolic structures on the knot's complement that are 'close' to the complete hyperbolic structure. We can study these structures by finding an ideal triangulation

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Related pages

Confluent hypergeometric function | Fourier–Bessel series | Bessel function | Hankel transform | Lommel polynomial