Gamma Function: Hankel Contour Definition

z^x: Raising Complex Numbers to Real Exponents All Cases Considered

Complex Sine and Cosine

Complex Gamma Function (Analytic Continuation)

Convergence of Gamma Function

Gamma Functional Equation

Power Rule for Functions with Complex Exponents

Complex Exponentiation

Complex Logarithm, Branch Points, and Branch Cuts

Legendre Duplication Formula

Beta Function

Gamma Function Sine Reflection Formula

Gamma Function: Equivalence of Integral and Infinite Product Definitions

Sine Infinite Product Formula and Wallis Product

Gamma Function: Integral Form

Gamma Function: Infinite Product Definition

Deriving Euler's Identity from Taylor Series

Taylor Series as Approximations of Area

Complex Numbers: An introduction