Harmonic Number - Special Values For Fractional Arguments

Special Values For Fractional Arguments

There are the following special analytic values for fractional arguments between 0 and 1, given by the integral

More may be generated from the recurrence relation or from the reflection relation .

For every, integer or not, we have:

Based on, we have:, where is the Euler–Mascheroni constant or, more generally, for every n we have:

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