Standard models of “regular black holes” typically have asymptotically de Sitter regions at
their cores. Herein, we shall consider novel “hollow” regular black holes, those with …

This book is the very first one in the English language entirely dedicated to the Lambert W
function, its generalizations, and its applications. One goal is to promote future research on …

The Lambert W (x) function and its possible applications in physics are presented. The
actual numerical implementation in C++ consists of Halley's and Fritsch's iterations with …

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics
simulations, that the overdamped motion of interacting particles at T= 0, where T is the …

All the roots of the general n th degree trinomial admit certain convenient representations in
terms of the Lambert and Euler series for the asymmetric and symmetric cases of the …

For various reasons, a number of authors have mooted an “exponential form” for the
spacetime metric ds 2=-e-2 m/rdt 2+ e+ 2 m/r {dr 2+ r 2 (d θ 2+ sin 2 θ d ϕ 2)}. While the …

In this paper we show two applications for a generalization of the Lambert W function.
Explicit calculations are given for the inverse Langevin function that plays an important role …

The authors reviewed theoretical gas-dynamic models of nonlinear electrostatic (Langmuir
and ion-acoustic) waves in degenerate quantum unmagnetized uniform plasmas. The …

In the analysis of nonlinear waves in plasma, especially for the search for periodic waves,
shock waves, and solitons, mechanical analogy methods are widely applicable. The most …

A Regge–Wheeler analysis is performed for a novel black hole mimicker 'the regular black
hole with asymptotically Minkowski core', followed by an approximation of the permitted …