Orthogonal polynomials | Q-analogs | Special hypergeometric functions
In mathematics, the continuous q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (Wikipedia).
Series solution of the Hermite differential equation. Shows how to construct the Hermite polynomials. Join me on Coursera: Differential equations for engineers https://www.coursera.org/learn/differential-equations-engineers Matrix algebra for engineers https://www.coursera.org/learn/matr
From playlist Differential Equations with YouTube Examples
Characteristic Polynomials of the Hermitian Wigner and Sample Covariance Matrices - Shcherbina
Tatyana Shcherbina Institute for Low Temperature Physics, Kharkov November 1, 2011 We consider asymptotics of the correlation functions of characteristic polynomials of the hermitian Wigner matrices Hn=n−1/2WnHn=n−1/2Wn and the hermitian sample covariance matrices Xn=n−1A∗m,nAm,nXn=n−1Am,n
From playlist Mathematics
Hermite interpolation. Numerical methods, chapter 2, additional video no 3. To be viewed after video Ch02n2. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (57 of 92) Calculating Hermite Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the first few Hermitian polynomials stating with n=0 to n=3. Next video in this series can be seen at: https://youtu.be/9euxAKJDll0
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Differential Equations | Second order linear homogeneous equations with repeated roots.
We derive the general solution to a second order linear homogeneous differential equation with constant coefficients whose companion polynomial has a repeated root.
From playlist Linear Differential Equations
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (56 of 92) What is a Hermite Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a Hermite polynomial. Previous videos showed the solution best describe the quantum oscillator of the Schrodinger equation is the product of a constant that needed to be normalized, mu
From playlist THE "WHAT IS" PLAYLIST
Hermitian Operators (Self-Adjoint Operators) | Quantum Mechanics
In this video, we will talk about Hermitian operators in quantum mechanics. If an operator A is a Hermitian operator, then it is the same as its adjoint operator A-dagger, which is defined via this equation here. Usually, the terms "Hermitian" and "self adjoint" are used interchangeably, h
From playlist Quantum Mechanics, Quantum Field Theory
"Transcendental Number Theory: Recent Results and Open Problems" by Prof. Michel Waldschmidt
This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.
From playlist Number Theory Research Unit at CAMS - AUB
Mod-01 Lec-07 Piecewise Polynomial Approximation
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
A central limit theorem for Gaussian polynomials... pt1 -Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
Math 060 Fall 2017 112717C Hermitian Matrices Part 1
Definitions: complex conjugate, modulus, complex vector, conjugate transpose, complex inner product, conjugate matrix. Hermitian matrices. Hermitian matrices and the inner product. Hermitian matrices have 1. real eigenvalues, 2. orthogonal eigenspaces. Unitary matrices. Hermitian matr
From playlist Course 4: Linear Algebra (Fall 2017)
Mod-01 Lec-06 Cubic Hermite Interpolation
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Waves in Atmosphere/Ocean, and Forced Motion in the Tropics (Lecture 4) by B N Goswami
ICTS Summer Course 2022 (www.icts.res.in/lectures/sc2022bng) Title : Introduction to Indian monsoon Variability, Predictability, and Teleconnections Speaker : Professor B N Goswami (Cotton University) Date : 23rd April onwards every week o
From playlist Summer Course 2022: Introduction to Indian monsoon Variability, Predictability, and Teleconnections
Generalized Hermite Reduction, Creative Telescoping, and Definite Integration of D-Finite Functions Hermite reduction is a classical algorithmic tool in symbolic integration. It is used to decompose a given rational function as a sum of a function with simple poles and the derivative of a
From playlist DART X
Phong NGUYEN - Recent progress on lattices's computations 2
This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by computers. We will present the main hard computational problems on lattices: SVP, CVP and
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Exact solution of a left-permeable open ASEP by Arvind Ayyer
Indian Statistical Physics Community Meeting 2018 DATE:16 February 2018 to 18 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate s
From playlist Indian Statistical Physics Community Meeting 2018
(7.2.1C) Power Series Solution to Hermite's Equation: y''-2xy'+2ny=0
This video explains how to determine a power series solution to a second order linear ordinary differential equation. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
A Non-Commutative Analog of the Metric for which the... Gradient Flow for the Entropy - Eric Carlen
Eric Carlen Rutgers, The State University of New Jersey November 13, 2012 The Fermionic Fokker-Planck equation is a quantum-mechanical analog of the classical Fokker-Planck equation with which it has much in common, such as the same optimal hypercontractivity properties. In this paper we
From playlist Mathematics
From playlist Contributed talks One World Symposium 2020
The definition of the characteristic polynomial (without using determinants). The Cayley-Hamilton Theorem.
From playlist Linear Algebra Done Right