Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623040 | Journal of Mathematical Analysis and Applications | 2007 | 5 Pages |
Abstract
A formula for the sum of any positive-integral power of the first N positive integers was published by Johann Faulhaber in the 1600s. In this paper, we generalize Faulhaber's formula to non-integral complex powers with real part greater than −1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis