Title of article
The generalization of Faulhaber’s formula to sums of non-integral powers
Author/Authors
Kevin J. McGown، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
5
From page
571
To page
575
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.
© 2006 Elsevier Inc. All rights reserved.
Keywords
Sums of non-integral powers , Faulhaber’s formula , Euler–Maclaurin summation , Bernoulli numbers , Riemann zeta function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935675
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