Infinite compositions of analytic functions

Determine Infinite Limits of a Rational Function Using a Table and Graph (Squared Denominator)

This video explains how to determine a limits and one-sided limits. The results are verified using a table and a graph.

From playlist Infinite Limits

Math 131 Spring 2022 042722 Properties of Analytic Functions, continued

Recall: analytic functions are infinitely (term-by-term) differentiable. Relation of coefficients and values of derivatives. Remark: analytic functions completely determined by values on an arbitrarily small interval. Analytic functions: convergence at an endpoint implies continuity the

From playlist Math 131 Spring 2022 Principles of Mathematical Analysis (Rudin)

Ex 1: Find Composite Function Values

This video provides several examples of how to determine composite function values. Site: http://mathispower4u.com

From playlist Determining Composite Functions and Composite Function Values

Math 135 Complex Analysis Lecture 07 021015: Analytic Functions

Definition of conformal mappings; analytic implies conformal; Cauchy-Riemann equations are satisfied by analytic functions; partial converses (some proven, some only stated); definition of harmonic functions; harmonic conjugates

From playlist Course 8: Complex Analysis

Rational Functions

In this video we cover some rational function fundamentals, including asymptotes and interecepts.

From playlist Polynomial Functions

Some identities involving the Riemann-Zeta function.

After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

Kristian Seip: Hankel and composition operators on spaces of Dirichlet series

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

Eva Gallardo Gutiérrez: The invariant subspace problem: a concrete operator theory approach

Abstract: The Invariant Subspace Problem for (separable) Hilbert spaces is a long-standing open question that traces back to Jonhn Von Neumann's works in the fifties asking, in particular, if every bounded linear operator acting on an infinite dimensional separable Hilbert space has a non-

From playlist Analysis and its Applications

Analytic Continuation and the Zeta Function

Where do complex functions come from? In this video we explore the idea of analytic continuation, a powerful technique which allows us to extend functions such as sin(x) from the real numbers into the complex plane. Using analytic continuation we can finally define the zeta function for co

From playlist Analytic Number Theory

11_4_2 The Derivative of the Composition of Functions

A further look at the derivative of the composition of a multivariable function and a vector function. There are two methods to calculate such a derivative.

From playlist Advanced Calculus / Multivariable Calculus

The Composition of Injective(one-to-one) Functions is Injective Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the composition of injective(one-to-one) functions is also injective(one-to-one)

From playlist Proofs

CTNT 2020 - Sieves (by Brandon Alberts) - Lecture 1

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Sieves (by Brandon Alberts)

Singular moduli for real quadratic fields - Jan Vonk

Joint IAS/Princeton University Number Theory Seminar Topic: Singular moduli for real quadratic fields Speaker: Jan Vonk Affiliation: Oxford University Date: April 4, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms - Gerard Misiolek

Gerard Misiolek University of Notre Dame; Institute for Advanced Study October 19, 2011 In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geome

From playlist Mathematics

Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group

Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group We cover a few concepts in this lecture: 1) we introduce the idea of a matrix representation using our super-simple example of a continuous group, 2) we discuss "connectedness" and explain tha

From playlist Lie Groups and Lie Algebras

Sixth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, November 18, 10:00am EDT Speaker: Sonia Fliss, Ensta Paris Title: The Half-space Matching Method or how to solve scattering in complex media Abstract: This is a joint work with Anne-Sophie Bonnet-Ben Dhia (POEMS), Patrick Joly (POEMS), Yohanes Tjandrawidjaja (TU Dortmund

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

2/21, Patrick Speissegger

Patrick Speissegger, McMaster University A new Hardy field of relevance to Hilbert's 16th problem In our paper, we construct a Hardy field that embeds, via a map representing asymptotic expansion, into the field of transseries as described by Aschenbrenner, van den Dries and van der Hoev

From playlist Spring 2020 Kolchin Seminar in Differential Algebra

Mark Pollicott - Dynamical Zeta functions (Part 2)

Dynamical Zeta functions (Part 1) Licence: CC BY NC-ND 4.0

From playlist École d’été 2013 - Théorie des nombres et dynamique

Complex analysis: Elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We start the study of elliptic (doubly periodic) functions by constructing some examples, and finding some conditions that their poles and zeros must satisfy. For the other lectures in the course see https://www

From playlist Complex analysis

Tony Yue Yu - 3/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties

Notes: https://nextcloud.ihes.fr/index.php/s/pSQnsgx72a4S5zj 3/4 - Naive counts, tail conditions and deformation invariance. --- We show that the naive counts of rational curves in an affine log Calabi-Yau variety U, containing an open algebraic torus, determine in a surprisingly simple w

From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties