Closed-Form Derivations of Infinite Sums and Products Involving Trigonometric Functions

We derive a closed-form expression for the infinite sum of the Hurwitz–Lerch zeta function using contour integration. This expression is used to evaluate infinite sum and infinite product formulae involving trigonometric functions expressed in terms of fundamental constants. These types of infinite...

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Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/7/1418