Orthogonal polynomials | Q-analogs | Special hypergeometric functions
In mathematics, the continuous q-Legendre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties. (Wikipedia).
In this video I derive three series representations for Legendre Polynomials. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F
From playlist Fourier
An introduction to Legendre Polynomials and the Legendre-Fourier Series.
From playlist Mathematical Physics II Uploads
In this video I briefly introduce Legendre Polynomials via the Rodrigues formula. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F
From playlist Fourier
An example of expanding a function in a Legendre-Fourier Series.
From playlist Mathematical Physics II Uploads
Constructing the Legendre polynomials, which are an orthonormal basis for the set of polynomials. Example of Gram-Schmidt to inner product spaces. Check out my Orthogonality playlist: https://www.youtube.com/watch?v=Z8ceNvUgI4Q&list=PLJb1qAQIrmmAreTtzhE6MuJhAhwYYo_a9 Subscribe to my chan
From playlist Fourier
How To Use Legendre Polynomials In Python
Legendre Polynomial pop up quite a few times in your physics degree. In this video I show you how to write a python code to plot out any degree legendre polynomial!
From playlist Daily Uploads
Proof that every Differentiable Function is Continuous
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every differentiable function is continuous.
From playlist Calculus
Mod-01 Lec-14 Convergence of Gaussian Integration
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
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Wanlin Li, A generalization of Elkies' theorem on infinitely many supersingular primes
VaNTAGe seminar, November 9, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Recent developments in knot contact homology - Lenny Ng
Princeton/IAS Symplectic Geometry Seminar Topic: Recent developments in knot contact homology Speaker: Lenny Ng, Duke University Date: December 11, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Proof: f(x) = sqrt(x) is Continuous using Epsilon Delta Definition | Real Analysis
We prove that f(x)=sqrt(x), the square root function, is continuous on its entire domain where it is real, from 0 to infinity including 0. We complete this proof using the epsilon delta definition of continuity of a function at a point. To do this, we simply take an epsilon greater than 0
From playlist Real Analysis
Mod-02 Lec-16 Solutions of Laplace Equation III
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
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
Alexander Bufetov: Determinantal point processes - Lecture 3
Abstract: Determinantal point processes arise in a wide range of problems in asymptotic combinatorics, representation theory and mathematical physics, especially the theory of random matrices. While our understanding of determinantal point processes has greatly advanced in the last 20 year
From playlist Probability and Statistics
Mod-02 Lec-14 Solutions of Laplace Equation
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
[ANT12] Quadratic reciprocity and prime factorisation
In this video, we finally put all the pieces together and see how quadratic reciprocity can help us to factorise primes in quadratic extensions of Z. ANT books: Marcus, "Number Fields"; Ireland and Rosen, "A Classical Introduction to Modern Number Theory"... Keith Conrad's notes: https:/
From playlist [ANT] An unorthodox introduction to algebraic number theory
The Analytic S-matrix Bootstrap (Lecture - 02) by Alexander Zhiboedov
STRING THEORY LECTURES THE ANALYTIC S-MATRIX BOOTSTRAP SPEAKER: Alexander Zhiboedov (Theory Division, CERN, Geneva) DATE: 29 January 2019 to 31 January 2019 VENUE: Emmy Noether Seminar Room, ICTS Bangalore Lecture 1: Jan 29, 2019 at 11:00 am Lecture 2: Jan 30, 2019 at 11:00 am Lecture
From playlist Infosys-ICTS String Theory Lectures
In this video I give a very straightforward proof that the sum f+g of continuous functions is continuous, both with the epsilon-delta definition and the sequence definition. I also show that any scalar multiple kf of a continuous function is continous. This implies that the set of continuo
From playlist Limits and Continuity
Gaussian Quadrature 3: The Explanation of the Technique
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 4 Linear Algebra: Inner Products