IJPAM: Volume 96, No. 3 (2014)
THE STOLZ-CESÀRO LEMMA
Edificio Este 1
28050 Madrid, SPAIN
Abstract. In this paper, we consider the hypersum polynomial , which is a generalization of the polynomial associated with the sums of powers of integers . Using the Stolz-Cesàro lemma, we derive an explicit formula for the set of coefficients in terms of and the Bernoulli numbers. This allows us to obtain the -th order hypersum once the -th order hypersum is known. Moreover, we show how to obtain from .
Received: June 24, 2014
AMS Subject Classification: 11B57, 11C08
Key Words and Phrases: sums of powers of integers, hypersum polynomial, Stolz-Cesàro lemma
Download paper from here.
DOI: 10.12732/ijpam.v96i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 343 - 351