TITLE:
Solutions for Series of Exponential Equations in Terms of Lambert-W Function and Fundamental Constants
AUTHORS:
S. Gnanarajan
KEYWORDS:
Exponential Equation, Lambert-W Function, Fine Structure Constant, Logarithmic Equation, Numerical Analysis, Fundamental Constants
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.4,
April
20,
2018
ABSTRACT: Series of exponential equations in the form of were solved
graphically, numerically and analytically. The analytical solution was derived
in terms of Lambert-W function. A general numerical solution for any y is found in terms of n or in base y. A solution is close to
the fine structure constant. The equation which provided the solution as the
fine structure constant was derived in terms of the fundamental constants.