Q-analogs | Gamma and related functions
In q-analog theory, the -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related to the double gamma function. It was introduced by . It is given by when , andif . Here is the infinite q-Pochhammer symbol. The -gamma function satisfies the functional equationIn addition, the -gamma function satisfies the q-analog of the Bohr–Mollerup theorem, which was found by Richard Askey.For non-negative integers n,where is the q-factorial function. Thus the -gamma function can be considered as an extension of the q-factorial function to the real numbers. The relation to the ordinary gamma function is made explicit in the limit There is a simple proof of this limit by Gosper. See the appendix of (Andrews). (Wikipedia).
The Gamma Function for Half Integer Values
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From playlist Number Theory
Number Theory 1.2 : The Gamma Function
In this video, I introduce the gamma function and show a few properties of it. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Number Theory
From playlist Probability Distributions
From playlist Atelier PARI/GP 2016
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Beta Function - Integral Representation Derivation
Today, we derive the integral representation for the Beta function. We will be using this result in a future video to prove the Euler reflection formula!
From playlist Integrals
What are the Inverse Trigonometric functions and what do they mean?
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Ex 1: Determine Composite Function Values Using Table, Graph, and Function Rule
This video explains how to determine various composite function values using a table, graph, and function rule. Site: http://mathispower4u.com
From playlist Determining Composite Functions and Composite Function Values
Pattern Formation in Biology (Lecture 3) by Vijaykumar Krishnamurthy
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - XIII (HYBRID) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India) and Sanjib Sabhapandit (RRI, India) DATE & TIME: 11 July 2022 to 22 July 2022 VENUE: Madhava Lecture Hall and Online This school is the thirteenth in the series. The schoo
From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)
Some problems with mode coupling from fluctuating ... by Henk van Beijeren
PROGRAM URL : http://www.icts.res.in/program/NESP2015 Talk Title :Some problems with mode coupling from fluctuating hydrodynamics and possible solutions by Henk van Beijeren DATES : Monday 26 Oct, 2015 - Friday 20 Nov, 2015 VENUE : Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION : T
From playlist Non-equilibrium statistical physics
Vincent Vargas - 2/4 Liouville conformal field theory and the DOZZ formula
Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a
From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula
Vincent Vargas - 4/4 Liouville conformal field theory and the DOZZ formula
Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a
From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula
Supersymmetric gauge theories (Lecture - 02) by Shiraz Minwalla
Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology 2018 DATE:08 January 2018 to 18 January 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology is a pan-Asian collaborative effort of high energy theori
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology 2018
DeepMind x UCL RL Lecture Series - Theoretical Fund. of Dynamic Programming Algorithms [4/13]
Research Scientist Diana Borsa explores dynamic programming algorithms as contraction mappings, looking at when and how they converge to the right solutions. Slides: https://dpmd.ai/dynamicprogramming Full video lecture series: https://dpmd.ai/DeepMindxUCL21
From playlist Learning resources
Tasho Kaletha - 1/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
Ehud de Shalit, The Hebrew University of Jerusalem
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From playlist Fall 2022 Online Kolchin seminar in Differential Algebra
Tony Yue Yu - 4/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Notes: https://nextcloud.ihes.fr/index.php/s/T6zEGCcJPS5JL4d 4/4 - Scattering diagram, comparison with Gross-Hacking-Keel-Kontsevich, applications to cluster algebras, applications to moduli spaces of Calabi-Yau pairs. --- We show that the naive counts of rational curves in an affine log
From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
The Weierstrass Definition of the GAMMA FUNCTION! - Proving Equivalence!
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From playlist Limits
The Green - Tao Theorem (Lecture 1) by Gyan Prakash
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