Open AccessDefinite integral of a hyperbolic quotient function expressed in terms of the Lerch function
Author(s) -
Robert Reynolds,
A D Stauffer
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4029
Subject(s) - mathematics , riemann hypothesis , pure mathematics , goldbach's conjecture , conjecture , quotient , mathematical analysis , perturbation (astronomy) , hyperbolic function , physics , quantum mechanics
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.