Definite integral of a hyperbolic quotient function expressed in terms of the Lerch function
-
Published:2021-11-10
Issue:4
Volume:14
Page:1132-1147
-
ISSN:1307-5543
-
Container-title:European Journal of Pure and Applied Mathematics
-
language:
-
Short-container-title:Eur. J. Pure Appl. Math.
Author:
Reynolds RobertORCID,
Stauffer AllanORCID
Abstract
In applied sciences it is always useful to improve the catalogue of definite integrals available in tables. In this paper the authors derived definite integrals used in research concerned with perturbation analysis of single Langmuir solitons, proving the Riemann Hypothesis and the Goldbach conjecture and the LPM effect in sequential bremsstrahlung. We also derived new results and summarized these formulae in a table of integrals.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science