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

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

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 ...

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

Math 372: Complex Analysis: Lecture 19: November 2, 2015: Introduction to Analytic Continuation, The Gamma Function, The ...

Unlock new career opportunities and become data fluent today! Use my link https://bit.ly/MathemaniacDCJan22 and check out the ...

Lecture 10 of my graduate course, Introduction to analytic number theory, at the University of Western Ontario, May-June 2023.

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Math 372: Complex Analysis: Lecture 21: November 4, 2015: Analytic Continuation of Zeta(s), Preliminary Integral for PNT.

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

... the issue the interesting part and that's a kind of a very surprising aspect of complex analysis is analytic continuation so let's talk ...

This video shows that the real and imaginary parts of analytic complex functions solve Laplace's equation. These are known as ...

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

In this short lecture I will prove the Hartogs theorem stating that holomorphic functions can be continued across compacts subsets ...

Analytic continuation: function element; direct analytic continuation; global analytic function; analytic continuation. Analytic ...

Principle of analytic continuation and Cauchy estimates.

Advanced Complex Analysis - Part 1 by Dr. T.E. Venkata Balaji,Department of Mathematics,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 ...