harmonic_number( n, m )
The generalized harmonic number function in SageMath. Defined by
\[ H_{n,m} = \sum_{k=1}^n \frac{1}{k^m} \]When called with one argument, the second defaults to unity and the function returns the harmonic numbers
\[ H_n = \sum_{k=1}^n \frac{1}{k} \]Plot on the real axis:
Series expansion about the origin:
Special values:
Related functions: log
Function category: functions sagemath-docs