= Particular values of the gamma function
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The gamma function, denoted as \\(\\Gamma(z)\\), is a generalization of the factorial function that extends its definition to all complex numbers except the non-positive integers. It is defined for positive real numbers \\(z\\) by the following integral: \\\[ \\Gamma(z) = \\int_0^\\infty t^\{z-1\} e^\{-t\} \\, dt \\\] The gamma function has several important values, particularly at positive integers and half-integers.
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