Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
We consider a Hurwitz-Lerch zeta function Φs,z,a sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions. A new recurrence identity with consecutive neighbours and the product of trigonometric funct...
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Main Authors: | Robert Reynolds, Allan Stauffer |
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Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2022/3591775 |
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