Hypergeometric functions

Hypergeometric function of a matrix argument

In mathematics, the hypergeometric function of a matrix argument is a generalization of the classical hypergeometric series. It is a function defined by an infinite summation which can be used to evaluate certain multivariate integrals. Hypergeometric functions of a matrix argument have applications in random matrix theory. For example, the distributions of the extreme eigenvalues of random matrices are often expressed in terms of the hypergeometric function of a matrix argument. (Wikipedia).

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Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 1

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 8

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 2

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 6

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 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 4

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 7

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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Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Differentiation of Hyperbolic Functions

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Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials

We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely

From playlist Jean-Morlet Chair - Grava/Bufetov

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Alexander HOCK - Solution of ϕ44 on the Moyal Space

We show the exact solution of the self-dual ϕ4-model on the 4-dimensional Moyal space. Using the results explained in Raimar's talk, an implicitly defined function converges to a Fredholm integral, which is solved, for any coupling constant λ more than −1π, in terms of a hypergeometric fun

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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03/01/19 Carlos Arreche

Differential transcendence of elliptic hypergeometric functions through Galois theory

From playlist Spring 2019 Kolchin Seminar

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Carlos Arreche

Differential transcendence of elliptic hypergeometric functions through Galois theory Elliptic hypergeometric functions were introduced roughly 10 years ago as a generalization of classical hypergeometric functions and q-hypergeometric functions. These special functions enjoy remarkable s

From playlist DART X

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Andrei Okounkov - Rational curves in quiver varieties

May 2, 2014 - Princeton University Department of Mathematics This is the 8th in a series of 10 Minerva Distinguished Visitor Lectures We will first review the general structural features of quantum multiplication and then discuss the key points that allow to determine it for Nakajima varie

From playlist Minerva Mini Course - Andrei Okounkov

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Kiran S. Kedlaya: Frobenius structures on hypergeometric equations: computational methods

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Current implementations of the computation of L-functions associated to hypergeometric motives in Magma and Sage rely on a p-adic trace formula

From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"

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Duco van Straten: CY-motives and differential equations

conference Recorded during the meeting "D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry" the April 12, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by

From playlist Algebraic and Complex Geometry

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Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions.

From playlist Using the Properties of Hyperbolic Functions

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