In mathematics, sieved orthogonal polynomials are orthogonal polynomials whose recurrence relations are formed by sieving the recurrence relations of another family; in other words, some of the recurrence relations are replaced by simpler ones. The first examples were the sieved ultraspherical polynomials introduced by Waleed Al-Salam, W. R. Allaway, and Richard Askey. Mourad Ismail later studied sieved orthogonal polynomials in a long series of papers. Other families of sieved orthogonal polynomials that have been studied include sieved Pollaczek polynomials, and sieved Jacobi polynomials. (Wikipedia).
Linear Algebra 7.1 Orthogonal Matrices
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
Advice for Research Mathematicians | Rational Trigonometry and Spread Polynomials II | Wild Egg Math
Spread polynomials arise in Rational Trigonometry as variants of the Chebyshev polynomials of the first kind. However the spread polynomials arise in a purely algebraic setting, without any need for appeal to "transcendental functions" which can't actually be evaluated -- such as cos x or
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Principal axes theorem + orthogonal matrices
Free ebook http://tinyurl.com/EngMathYT A basic introduction to orthogonal matrices and the principal axes theorem. Several examples are presented involving a simplification of quadratic (quadric) forms. A proof is also given.
From playlist Engineering Mathematics
From playlist Linear Algebra Ch 6
Archimedean Theory - Alex Kontorovich
Speaker: Alex Kontorovich (Rutgers/IAS) Title: Archimedean Theorem More videos on http://video.ias.edu
From playlist Mathematics
The Large Sieve (Lecture 2) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
undergraduate machine learning 15: Singular Value Decomposition - SVD
Eigenvalue expansions, the singular value decomposition (SVD) and image compression. The slides are available here: http://www.cs.ubc.ca/~nando/340-2012/lectures.php This course was taught in 2012 at UBC by Nando de Freitas
From playlist undergraduate machine learning at UBC 2012
Orthogonal matrices | Lecture 7 | Matrix Algebra for Engineers
Definition of orthogonal matrices. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
The Selberg Sieve and Large Sieve (Lecture 1) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
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Javier Fresán: Symmetric power moments of Kloosterman sums
Abstract: We construct motives over the rational numbers associated with symmetric power moments of Kloosterman sums, and prove that their L-functions extend meromorphically to the complex plane and satisfy a functional equation conjectured by Broadhurst and Roberts. Although the motives i
From playlist Algebraic and Complex Geometry
Monogenic fields with odd class number - Artane Jeremie Siad
Joint IAS/Princeton University Number Theory Seminar Topic: Monogenic fields with odd class number Speaker: Artane Jeremie Siad Affiliation: Princeton University; Visitor, School of Mathematics Date: November 4, 2021 In this talk, we prove an upper bound on the average number of 2-torsi
From playlist Mathematics
The Green - Tao Theorem (Lecture 3) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Mathematics of Post-Quantum Cryptograhy - Kristin Lauter
Woman and Mathematics - 2018 More videos on http"//video.ias.edu
From playlist My Collaborators
Linear Algebra 7.2 Orthogonal Diagonalization
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
Abstract eigenvalues and eigenvectors In this video, I show how to find eigenvalues and eigenvectors of an abstract linear transformation, namely in this case the transformation on polynomials that switches the leading order and the constant term. Enjoy! Check out my Diagonalization play
From playlist Diagonalization
(4.1.3) Orthogonality of Eigenfunctions Theorem and Proof
This video explains and proves a theorem on the orthogonality of eigenfunctions. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Representation theory and geometry – Geordie Williamson – ICM2018
Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theor
From playlist Plenary Lectures
Large sieve inequalities for families of L-functions
50 Years of Number Theory and Random Matrix Theory Conference Topic: Large sieve inequalities for families of L-functions Speaker: Matt Young Affiliation: Texas A&M University Date: June 21, 2022 Large sieve inequalities are useful and flexible tools for understanding families of L-funct
From playlist Mathematics
How do we multiply polynomials
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.
From playlist How to Multiply Polynomials
Super-Approximation and Its Applications - Alireza Salehi Golsefidy
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond