dlgamma - derivative of gammaln function, psi function
dlgamma(x) evaluates, at all the elements of x the logarithmic derivative of the gamma function which corresponds also to the derivative of the gammaln function :
d/dx (gamma(x)) / gamma(x) = d/dx (ln gamma(x))
x must be real. Also known as the psi function.
dlgamma(0.5)