Reciprocal gamma function

The reciprocal gamma function is simply the reciprocal of the gamma function, which is a fundamental function in mathematics, particularly in statistics and probability theory. The gamma function, denoted as \(\Gamma(z)\), is defined for complex numbers \(z\) with a positive real part and is an extension of the factorial function, satisfying the relation \(\Gamma(n) = (n-1)!\) for any positive integer \(n\).