Extended Watson-Harkins Sum
General Mathematics
2023-02-06 v1
Abstract
The Watson-Harkins sum involving the product of the cosine and cosecant functions is extended to derive the finite sum of generalized Hurwitz-Lerch Zeta functions is derived in terms of the Hurwitz-Lerch Zeta function. A transformation formula arises for various finite values of the parameters involved. The finite product of trigonometric functions are also derived. All the results in this work are new.
Cite
@article{arxiv.2302.01907,
title = {Extended Watson-Harkins Sum},
author = {Robert Reynolds},
journal= {arXiv preprint arXiv:2302.01907},
year = {2023}
}