dickman_rho( z )

The Dickman function of z in SageMath. The solution to the differential equation

\[ x \rho' (x) + \rho (x-1) = 0 \]

with initial condition \( \rho (x) = 1 \) for \( 0 \le x \le 1 \).

Plot on the real axis:

Semilog plot on the real axis:

Series expansion about the origin:

Special values:

Related functions:  

Function category: miscellaneous functions sagemath-docs