Orthogonal polynomials | Q-analogs | Special hypergeometric functions

Little q-Jacobi polynomials

In mathematics, the little q-Jacobi polynomials pn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (Wikipedia).

Little q-Jacobi polynomials
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Jacobian matrix example

Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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Intro to the Jacobian

Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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Theory of numbers: Jacobi symbol

This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t

From playlist Theory of numbers

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Introduction to number theory lecture 35 Jacobi symbol

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define the Jacobi symbol and prove its basic properties, and show how to calculate it fa

From playlist Introduction to number theory (Berkeley Math 115)

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Determine if a Function is a Polynomial Function

This video explains how to determine if a function is a polynomial function. http://mathispower4u.com

From playlist Determining the Characteristics of Polynomial Functions

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A Family of Rationally Extended Real and PT Symmetric Complex Potentials by Rajesh Kumar Yadav

PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a

From playlist Non-Hermitian Physics (ONLINE)

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Taylor polynomials + functions of two variables

Download the free PDF http://tinyurl.com/EngMathYT This is a basic tutorial on how to calculate a Taylor polynomial for a function of two variables. The ideas are applied to approximate a difficult square root. Such concepts are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function

In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL

From playlist Etale Theta

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Jim Bryan : Curve counting on abelian surfaces and threefolds

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Central Limit Theorems for linear statistics for biorthogonal ensembles - Maurice Duits

Maurice Duits SU April 2, 2014 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Sander Zwegers: Fourier coefficients of meromorphic Jacobi forms

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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Taylor polynomials: functions of two variables

Download the free PDF from http://tinyurl.com/EngMathYT This is a basic tutorial on how to calculate a Taylor polynomial for a function of two variables. The ideas are applied to approximate a difficult square root. Such concepts are seen in university mathematics.

From playlist Mathematics for Finance & Actuarial Studies 2

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Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 5

Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of

From playlist Hypergeometric Functions, Character Sums and Applications

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The Jacobian matrix

An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.

From playlist Multivariable calculus

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Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 3

Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of

From playlist Hypergeometric Functions, Character Sums and Applications

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Lec 12 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis

Lecture 12: Solution methods for frequencies and mode shapes Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Linear Finite Element Analysis

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Lec 18 | MIT 18.086 Mathematical Methods for Engineers II

Krylov Methods / Multigrid Continued View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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What is a Taylor polynomial?

Free ebook http://tinyurl.com/EngMathYT A lecture showing how to compute Taylor polynomials. Plenty of examples are discussed and solved. Such ideas are used in approximation of functions and are seen in university mathematics.

From playlist A second course in university calculus.

Related pages

Orthogonal polynomials | Askey scheme