Digamma Function
The Digamma Function, denoted as ψ(x), is the logarithmic derivative of the Gamma Function (Γ(x)). It is defined as ψ(x) = d(ln(Γ(x)))/dx. The Digamma Function is useful in various areas of mathematics, including calculus and number theory, particularly in the study of harmonic numbers and series.
The function has several important properties, such as recurrence relations and asymptotic expansions. It is also related to other special functions, including the Polygamma Functions, which are higher derivatives of the Digamma Function. The Digamma Function is often encountered in statistical distributions and in the analysis of algorithms.