Orthogonal polynomials | Q-analogs | Special hypergeometric functions

Continuous q-Jacobi polynomials

In mathematics, the continuous q-Jacobi polynomials P(α,β)n(x|q), introduced by , 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).

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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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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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What is the multiplicity of a zero?

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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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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Overview of Multiplicity of a zero - Online Tutor - Free Math Videos

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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Intro to Jacobian + differentiability

A lecture that introduces the Jacobian matrix and its determinant. Such ideas may be thought of as a general derivative of a vector-valued function of many variables and find uses in integration theory.

From playlist Several Variable Calculus / Vector Calculus

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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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Jacobian and Chain Rule

Example discussing the Chain Rule for the Jacobian matrix. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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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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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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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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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?

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Hypergeometric Motives - Fernando Villegas

Fernando Villegas University Texas at Austin March 15, 2012 The families of motives of the title arise from classical one-variable hypergeometric functions. This talk will focus on the calculation of their corresponding L-functions both in theory and in practice. These L-functions provide

From playlist Mathematics

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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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What is a polynomial function

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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Sonia Rueda 7/7/14 Part 1

Title: Sparse Resultant Formulas for Differential Polynomials

From playlist Spring 2014

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Zeros of polynomials via matrix theory and continued fractions - Olga Holtz

Olga Holtz University of California, Berkeley; Member, School of Mathematics February 24, 2014 After a brief review of various classical connections between problems of polynomial zero localization, continued fractions, and matrix theory, I will show a few ways to generalize these classica

From playlist Number Theory

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Learn how and why multiplicity of a zero make sense

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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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

Related pages

Orthogonal polynomials | Askey scheme | Q-Pochhammer symbol