Particular values of the gamma function: Difference between revisions

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Other constants: Match formatting of other cited values in this section
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Integers and half-integers: Clarification of the ___domain of <math> k <\math> for the half-integer formula.
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and so on. For non-positive integers, the gamma function is not defined.
 
For positive half-integers <math> \frac{k}{2} </math> where <math> k\in 2\mathbb{N}^*+1 </math> is an odd integer greater or equal <math>3</math>, the function values are given exactly by
 
:<math>\Gamma \left (\tfrac{nk}{2} \right) = \sqrt \pi \frac{(nk-2)!!}{2^\frac{nk-1}{2}}\,,</math>
 
or equivalently, for non-negative integer values of&nbsp;{{mvar|n}}: