Extension of Summation Formulas involving Stirling series
Abstract
This paper presents a family of rapidly convergent summation formulas for various finite sums of the form $\sum_{k=0}^{\lfloor x\rfloor}f(k)$, where $x$ is a positive real number.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2016
- DOI:
- 10.48550/arXiv.1605.09204
- arXiv:
- arXiv:1605.09204
- Bibcode:
- 2016arXiv160509204S
- Keywords:
-
- Mathematics - Number Theory;
- 65B15 (Primary);
- 11B68 (Secondary)