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Unraveling the enigmatic function behind the Riemann hypothesis Help fund future projects: ...

Where do complex functions come from? In this video we explore the idea of analytic continuation, a powerful technique which ...

There's often a lot of emphasis in math on generalizing concepts beyond the domains where they were originally defined, but ...

This lecture is part of an online undergraduate course on complex analysis. We discuss analytic continuation, which is the ...

Ever wondered how to extend an analytic function beyond its original domain? This video dives into Analytic Continuation and its ...

In this video we examine the other half of complex calculus: integration. We explain how the idea of a complex line integral arises ...

In this video, I am trying to define the concept of Analytic continuation and the underlaying concepts that create a foundation for ...

Week 5 of the course "Complex Analysis" is dedicated to analytical continuation and Riemann surfaces. Animated LaTex formulae ...

all rights reserved to the open university and the bbc. I am putting these videos up for educational purposes only. here's my ...

Different style of video here that I'm trying, hopefully I can help some people learn the basic skills they need to take on tougher ...

... picture 08:18 Imaginary and complex numbers 09:40 Complex Analysis and the Zeta Function 10:25 Analytic Continuation: two ...

Week 5 of the course "Complex Analysis" is dedicated to analytic continuation and Riemann surfaces Animated LaTex formulae ...

Selected Topics in Mathematical Physics by Prof. V. Balakrishnan,Department of Physics,IIT Madras.For more details on NPTEL ...

Definition of the Gamma Function for Complex Numbers, Analytic Continuation of the Gamma Function to the entire Complex ...

I describe my three favorite books for an introduction to complex analysis, and conclude with some remarks about a few other ...

Lecture 15 of my graduate course, Introduction to analytic number theory at the University of Western Ontario, May-June 2023.

So a corollary from that is what conf usually refer to as analytic continuation I mean there is more to it than that but I'm just going to ...

... https://youtu.be/d34v9nWZaVE) Open mapping theorem (video #6) Maximum modulus principle (video #6) Analytic continuation ...

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Principle of analytic continuation and Cauchy estimates.