Open AccessResolution of the Plane-symmetric Einstein-Maxwell fields with a generalization of the Lambert W function
Author(s) -
István Mező,
Cristina B. Corcino,
Roberto B. Corcino
Publication year - 2020
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/abab40
Subject(s) - lambert w function , einstein , generalization , taylor series , mathematical physics , mathematical analysis , symmetry (geometry) , physics , function (biology) , plane (geometry) , mathematics , geometry , evolutionary biology , biology
Here, the Einstein-Maxwell field equation with plane-symmetry is resolved and a solution involving a generalized Lambert W function is obtained. This generalized Lambert W function is studied and its derivative, Taylor series, Mellin transform and approximation formula are derived and its real branches are determined. Implications of these analytic properties to the solution function are also presented.