Identities by Generalized $L-$Summing Method
Numerical Analysis
2007-05-29 v1 Number Theory
Abstract
In this paper, we introduce 3-dimensional summing method, which is a rearrangement of the summation with . Applying this method on some special arrays, we obtain some identities on the Riemann zeta function and digamma function. Also, we give a Maple program for this method to obtain identities with input various arrays and out put identities concerning some elementary functions and hypergeometric functions. Finally, we introduce a further generalization of summing method in higher dimension spaces.
Cite
@article{arxiv.0705.4000,
title = {Identities by Generalized $L-$Summing Method},
author = {Mehdi Hassani and Zahra Jafari},
journal= {arXiv preprint arXiv:0705.4000},
year = {2007}
}