Find the value of ?(5/2), where ? denote gamma a) 5/4 · ?^1/2 b) 7/4 · ?^1/2 c) 1/4 · ?^1/2 d) 3/4 · ?^1/2
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The gamma function is defined as: $$\Gamma(x) = \int_0^\infty t^{x-1}e^{-t} dt$$ Now, let's find the value of the gamma function for each given value: 1) $\Gamma(\frac{5}{4})$ 2) $\Gamma(\frac{7}{2})$ 3) $\Gamma(\frac{1}{4}) \cdot \Gamma(\frac{1}{2})$ 4) Show more…
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