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Complex Gamma Function (Analytic Continuation)

Definition of the Gamma Function for Complex Numbers, Analytic Continuation of the Gamma Function to the entire Complex Plane (with poles at 0 and the negative integers) by integratiion by parts

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Gamma Function: Hankel Contour Definition (Revised)
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Gamma Function: Hankel Contour Definition (Revised)

Analytic Continuation and the Zeta Function
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Analytic Continuation and the Zeta Function

Deriving the Gamma Function
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Deriving the Gamma Function

Where did the Gamma Function come from?!?! (Full Derivation)
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Where did the Gamma Function come from?!?! (Full Derivation)

Complex analysis: Analytic continuation
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Complex analysis: Analytic continuation

Riemann Zeta Function and Counting Primes
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Riemann Zeta Function and Counting Primes

Euler MacLaurin Summation Formula with Remainder Term
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Euler MacLaurin Summation Formula with Remainder Term

Mod-04 Lec-09 Analytic continuation and the gamma function (Part I)
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Mod-04 Lec-09 Analytic continuation and the gamma function (Part I)

Lord of the Commutative Rings - Numberphile
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Lord of the Commutative Rings - Numberphile

Gamma Function: Integral Form
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Gamma Function: Integral Form

Gamma Function: Infinite Product Definition
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Gamma Function: Infinite Product Definition

Eta Functional Equation
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Eta Functional Equation

Bernoulli Polynomials
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Bernoulli Polynomials

Finding the nontrivial zeros of the Riemann Zeta Function using Desmos
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Finding the nontrivial zeros of the Riemann Zeta Function using Desmos

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6
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Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6

a beautiful gamma function identity -- Legendre's duplication formula.
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a beautiful gamma function identity -- Legendre's duplication formula.

Extending the Riemann Zeta Function with Fractional Sums
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Extending the Riemann Zeta Function with Fractional Sums

|i Factorial| You Won't Believe The Outcome
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|i Factorial| You Won't Believe The Outcome

Complex Analysis: Dogbone Contour Example
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Complex Analysis: Dogbone Contour Example

Euler's Insight - A Function That Generates Values of the Riemann Zeta Function
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Euler's Insight - A Function That Generates Values of the Riemann Zeta Function

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