The Impossible Factorial: What is i!?
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YouTubeMath Quest Club
The Impossible Factorial: What is i!?
Does the factorial of an imaginary number exist? In this video, we answer the “impossible” question: what is i! Normally, factorials are defined only for positive integers: 1!, 2!, 3!, and so on. But using the Gamma function, factorials extend smoothly beyond integers — even into the complex plane. We’ll build the idea step by step: How ...
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