What is the factorial of i? Yes, the imaginary unit i. Does i factorial actually work? Yes, we will have to use the extension of factorial, namely the Pi function or the Gamma function. And we will also have to know how to deal with (a real number)^(complex exponent).

Pi & Gamma function, extending the factorial 👉    • extending the factorial (the Gamma fu...  
sqrt(2) factorial 👉    • factorial of sqrt(2)?  
Euler's Formula, deal with complex exponent 👉    • Euler's Formula (but it's a speedrun)  

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