Hypergeometric functions | Special functions

Fox H-function

In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-function and the Fox–Wright function introduced by Charles Fox.It is defined by a Mellin–Barnes integral where L is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function: The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q : A generalization of the Fox H-function is given by Ram Kishore Saxena Innayat Hussain . For a further generalization of this function, useful in physics and statistics was given by A.M.Mathai and Ram Kishore Saxena, see . (Wikipedia).

Fox H-function
Video thumbnail

The Lambert W Function Introduction

This function comes up as a solution to equations ranging from pure math to quantum physics to biology. In this video, I introduce the concepts behind the function and give some sample calculations. There's lots more to this function, so explore it on your own if you're interested.

From playlist Math

Video thumbnail

Lambert W Function Intro & x^x=2

Lecture on Lambert W, 1/5/2021 https://youtu.be/Qb7JITsbyKs ☀️ Patreon: https://www.patreon.com/blackpenredpen 😃 https://blackpenredpen.com 😃 https://twitter.com/blackpenredpen 😃 https://www.instagram.com/blackpenredpen/ #LambertWfunction #tetration

From playlist Lambert W Function

Video thumbnail

(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

Video thumbnail

Inverse Functions (part two)

More examples. Finding the inverse, domain/ range, and verifying inverses. Hope this helps! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/braingainzofficial Thanks for watching! Comment below with any questions / feedback and make sure to l

From playlist Precalculus

Video thumbnail

Preimage of Composition of Functions Set Theory Proof

Preimage of Composition of Functions Set Theory Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Functions, Sets, and Relations

Video thumbnail

FoxH: A New Super Special Function

The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions. Most of these mathematical functions might be considered as specific cases of very general superfunctions like the G-function or MeijerG, which was introduced in Version 3 of Ma

From playlist Wolfram Technology Conference 2021

Video thumbnail

Everything to know about Mellin-Barnes Integrals - Part 2: Live with the R&D Team

Begins at 1:00 In this stream, Oleg Marichev will be covering a more convenient form of general Mellin-Barnes Integrals, that he refers to as SlaterH functions and are equivalent to FoxH functions. Stay up-to-date on upcoming livestreams: https://wolfr.am/RDlive For more information abo

From playlist Live with the R&D Team

Video thumbnail

Wall Crossing, Part 3 - Greg Moore

Wall Crossing, Part 3 Greg Moore Rutgers, The State University of New Jersey July 29, 2010

From playlist PiTP 2010

Video thumbnail

Transformations of the six Trigonometric Functions

Learn how to identify the amplitude, period, domain, range and asymptotes of the six trigonometric functions.

From playlist Hw Answers - Livestreams

Video thumbnail

Marcel Schaub - Niels Benedikter - Marco Olivieri

* The BCS Functional in a Weak Homogeneous Magnetic Field - its Critical Temperature and Microscopic Derivation of Ginzburg-Landau Theory - Marcel Schaub * Describing Quantum Correlations in the Fermi Liquid by Bosonization - Niels Benedikter * Isomerization Reactions for Pseudo Relativis

From playlist Mathematics of Condensed Matter and Beyond (February 22-25, 2021)

Video thumbnail

The Fock-Space Landscape across the Many-Body Localisation Transition by Sthitadhi Roy

SEMINAR THE FOCK-SPACE LANDSCAPE ACROSS THE MANY-BODY LOCALISATION TRANSITION SPEAKER: Sthitadhi Roy (University of Oxford, UK) DATE: Tue, 01 June 2021, 14:30 to 16:00 VENUE:Online Seminar ABSTRACT Many-body localised (MBL) phases of matter fall outside the conventional paradigm o

From playlist Seminar Series

Video thumbnail

Inverse Functions (part one)

An introduction to inverse functions. I talk about what an inverse function is, the relationship between domain and range, and the composition of two inverse functions. Stay tuned for part two! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/b

From playlist Precalculus

Video thumbnail

Robert Wald - The Memory Effect and Infrared Divergences - IPAM at UCLA

Recorded 27 October 2021. Robert Wald of the University of Chicago presents "The Memory Effect and Infrared Divergences" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: The "memory effect" is the permanent relative displacement of test particles after th

From playlist Workshop: Mathematical and Numerical Aspects of Gravitation

Video thumbnail

Summing Over Bordisms In 2d TQFT - Greg Moore

Black Holes and Qubits Meeting Topic: Summing Over Bordisms In 2d TQFT Speaker: Greg Moore Affiliation: Rutgers University Date: March 24, 2022 Some recent work in the quantum gravity literature has considered what happens when the amplitudes of a TQFT are summed over the bordisms betwee

From playlist Natural Sciences

Video thumbnail

Nicolas Perkowski: Lecture #2

This is the second lecture on "A Markovian perspective on some singular SPDEs" taught by Professor Nicolas Perkowski. For more materials and slides visit: https://sites.google.com/view/oneworld-pderandom/home

From playlist Summer School on PDE & Randomness

Video thumbnail

Kehe Zhu: Products of Toeplitz operators on the Fock space

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 Analysis and its Applications

Related pages

Meijer G-function | Fox–Wright function