This one popped up and I have no idea what motivated my idea that there was, in fact, a way to radically simplify the godawful Gamma functions. But, well…you’ll see. The problem asks whether the expression $$\frac{\Gamma\left(\frac{1}{10}\right)}{\Gamma\left(\frac{2}{15}\right)\Gamma\left(\frac{7}{15}\right)}$$ has any chance of being simplified somehow. Recall that a gamma function is like a factorial, but defined […]

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