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:
Function category: miscellaneous functions sagemath-docs