Mathematical constants | Gamma and related functions

Particular values of the gamma function

The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general. Other fractional arguments can be approximated through efficient infinite products, infinite series, and recurrence relations. (Wikipedia).

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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

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The Gamma Function for Half Integer Values

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From playlist Number Theory

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Gaussian Integral 6 Gamma Function

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using properties of the gamma function, which

From playlist Gaussian Integral

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How to determine the absolute max min of a function on an open interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Find the max and min from a quadratic on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Find the max and min of a linear function on the closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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How to determine the global max and min from a piecewise function

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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How to determine the max and min of a sine on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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DeepMind x UCL RL Lecture Series - Theoretical Fund. of Dynamic Programming Algorithms [4/13]

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From playlist Learning resources

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Gaussian multiplicative chaos: applications and recent developments - Nina Holden

50 Years of Number Theory and Random Matrix Theory Conference Topic: Gaussian multiplicative chaos: applications and recent developments Speaker: Nina Holden Affiliation: ETH Zurich Date: June 22, 2022 I will give an introduction to Gaussian multiplicative chaos and some of its applicati

From playlist Mathematics

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Statistics of the Zeros of the Zeta Function: Mesoscopic and Macroscopic Phenomena - Brad Rodgers

Brad Rodgers University of California, Los Angeles March 27, 2013 We review the well known microscopic correspondence between random zeros of the Riemann zeta-function and the eigenvalues of random matrices, and discuss evidence that this correspondence extends to larger mesoscopic collect

From playlist Mathematics

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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

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Stanford CS229: Machine Learning | Summer 2019 | Lecture 14 - Reinforcement Learning - I

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3E5GJVk Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

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An Introduction to Liouville Theory - Antti Kupiainen

Special Mathematics Physics Seminar Topic: An Introduction to Liouville Theory Speaker: Antti Kupiainen Affiliation: University of Helsinki Date: May 15, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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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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Harmonic maps into singular spaces - Brian Freidin

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From playlist Variational Methods in Geometry

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Singular moduli for real quadratic fields - Jan Vonk

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From playlist Mathematics

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Ex 1: Composite Function Values

This video provides two examples of how to determine composite function values given an initial input. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Composite Functions and Composite Function Values

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Stochastic Astrophysical Foreground From Compact Binary Mergers (Lecture 4) by Vuc Mandic

PROGRAM ICTS SUMMER SCHOOL ON GRAVITATIONAL-WAVE ASTRONOMY (ONLINE) ORGANIZERS: Parameswaran Ajith (ICTS-TIFR, India), K. G. Arun (CMI, India), Bala R. Iyer (ICTS-TIFR, India) and Prayush Kumar (ICTS-TIFR, India) DATE : 05 July 2021 to 16 July 2021 VENUE : Online This school is part

From playlist ICTS Summer School on Gravitational-Wave Astronomy (ONLINE)

Related pages

Transcendental number | Infinite product | Reflection formula | Rational number | Digamma function | Factorial | Imaginary unit | Chowla–Selberg formula | Catalan's constant | Asymptotic analysis | Fractional part | Arithmetic–geometric mean | Gamma function | Mathematics | Reciprocal gamma function | Integer | Fransén–Robinson constant | Lemniscate constant | Double factorial | Barnes G-function | Theta function | Glaisher–Kinkelin constant | Half-integer