Extended Prudnikov sum

Extended Prudnikov sum

A Prudnikov sum is extended to derive the finite sum of the Hurwitz-Lerch Zeta function in terms of the Hurwitz-Lerch Zeta function. This formula is then used to evaluate a number trigonometric sums and products in terms of other trigonometric functions. These sums and products are taken over positi...

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Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: AIMS Press 2022-08-01
Series:AIMS Mathematics
Subjects:
finite sum
finite product
trigonometric function
catalan's constant
hurwitz-lerch zeta function
cauchy integral
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221021?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20221021?viewType=HTML

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