Скачать или смотреть DERIVING THE GAMMA FUNCTION - Combining Feynman integration and Laplace Transforms

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Leibinz rule:    • The Leibniz rule for integrals: The Deriva...  
Gamma Euler Form:    • ONE NEAT PROOF! Deriving the EULER DEFINIT...  
Gamma Weier Form:
Laplace e^at:    • Laplace transform: e^at and e^-at  

This mfin bad boi got requested, and it's hella cool! :v Let us make the Papas kiss today: Feynman x Leibniz x Laplace.
We are going to use the Leibniz rule for integration, aka differentiation under the integral sign today. After that we are going to jump to the conclusion, that we can use the Laplace transform of t^n. All of this crazy sht just to derive a continuous version of the factorial function! :)

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