Orthogonal polynomials | Special hypergeometric functions
In mathematics, the continuous Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. Closely related polynomials include the dual Hahn polynomials Rn(x;γ,δ,N), the Hahn polynomials Qn(x;a,b,c), and the continuous dual Hahn polynomials Sn(x;a,b,c). These polynomials all have q-analogs with an extra parameter q, such as the q-Hahn polynomials Qn(x;α,β, N;q), and so on. (Wikipedia).
Continuity 1b - Polynomial/Rational Functions and The Extreme Value Theorem
EDIT: At 4:10, picture is upside down, but idea is same. Calculus: We note that polynomials and rational functions are continuous where defined. The Extreme Value Theroem and Intermediate Value Theorem are also given with examples.
From playlist Calculus Pt 1: Limits and Derivatives
In this video, I define the exponential derivative of a function using power series, and then show something really neat: For “most” functions (those that have a power series expansion), the exponential derivative is just shifting the function by 1! I also derive the product rule for exp
From playlist Calculus
Calculus 3.1 Derivatives of Polynomials and Exponentials
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Conformal Bootstrap in Mellin Space by Aninda Sinha
11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but
From playlist String Theory: Past and Present
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
What Really Happened the First Time We Split a Heavy Atom in Half
This episode was produced in collaboration with and sponsored by Emerson. Click here to learn more about their We Love STEM initiative: http://bit.ly/2fnBiHO When scientists first split the atom, they didn’t realize what they’d done until physicist Lise Meitner figured out they had discov
From playlist Uploads
Interpreting Polynomial Structure Analytically - Julia Wolf
Julia Wolf Rutgers, The State University of New Jersey February 8, 2010 I will be describing recent joint efforts with Tim Gowers to decompose a bounded function into a sum of polynomially structured phases and a uniform error, based on the recent inverse theorem for the Uk norms on Fpn b
From playlist Mathematics
Determine if a Function is a Polynomial Function
This video explains how to determine if a function is a polynomial function. http://mathispower4u.com
From playlist Determining the Characteristics of Polynomial Functions
Max Planck was tested by Hitler, how could he stand up for his friends Albert Einstein, Fritz Haber, Lise Meitner, Otto Hahn and more? Did Planck do the right thing? Watch the video and decide for yourself. My Patreon Page (thanks!): https://www.patreon.com/user?u=15291200 Some Links
From playlist Max Planck Biographies
Hajime Ishihara: The constructive Hahn Banach theorem, revisited
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The Hahn-Banach theorem, named after the mathematicians Hans Hahn and Stefan Banach who proved it independently in the late 1920s, is a central tool in functional analys
From playlist Workshop: "Constructive Mathematics"
Continuous function: an example / tutorial
Free ebook http://tinyurl.com/EngMathYT A simple example illustrating how to determine continuity of a function. Such ideas are seen in high school and university mathematics tutorial
From playlist A first course in university mathematics
Nuclear fission - the splitting of the atom... How does this occur and why does it release a large amount of energy? The video covers all this, as well as a brief history of its discovery. Please consider supporting the channel- as little as $1 appreciated - to help produce more great co
From playlist Modern Physics
Compare Linear and Exponential Functions
This video compares linear and exponential functions. http://mathispower4u.com
From playlist Introduction to Exponential Functions
Functional Analysis - Part 25 - Hahn–Banach theorem
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://bright.jp-g.de/functional-analysis/ Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCA
From playlist Functional analysis
Higher-order Fourier Analysis and Applications - Pooya Hatami
Short Talks by Postdoctoral Members Pooya Hatami - September 22, 2015 http://www.math.ias.edu/calendar/event/88174/1442945700/1442946600 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
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?
Peter Lax - The Abel Prize Interview 2005
0:15 from Hungary to Los Alamos 3:00 shock limits: the role of collaboration 4:22 interaction of solitons: discovered by numerical means 10:35 genesis of Fourier integral operators 12:00 Ralph Phillips, scattering theory 14:45 Riemann Hypothesis 15:40 beauty vs. ugliness in math. 16:15 doe
From playlist The Abel Prize Interviews
Derivative of a constant function
Derivative of a constant function in simple steps.
From playlist Derivatives
The Chubb Fellowship of Timothy Dwight College presents Violinist Hilary Hahn
Head of Timothy Dwight Residential College, Mary Lui interviews Violinist Hilary Hahn as the Chubb Fellow for the Spring 2022 semester. Three-time Grammy Award-winning violinist Hilary Hahn matches expressive musicality and technical expertise with a diverse repertoire guided by artistic
From playlist The Chubb Fellowship of Timothy Dwight College