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arXiv · 2302.01907

Extended Watson-Harkins Sum

Robert Reynolds
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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.

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Robert Reynolds. 2023-01-28. Extended Watson-Harkins Sum. https://arxiv.org/abs/2302.01907

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