Basic trigonometric power sums with applications
Number Theory
2016-04-04 v1
Abstract
We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivation of generating functions and to the number of the closed walks on a path and in a cycle.
Cite
@article{arxiv.1601.07839,
title = {Basic trigonometric power sums with applications},
author = {Carlos M. da Fonseca and M. Lawrence Glasser and Victor Kowalenko},
journal= {arXiv preprint arXiv:1601.07839},
year = {2016}
}