Article citationsMore>>

Gnanarajan, S. (2017) Solutions of the Exponential Equation yx/y = x or lnx/x = lny/y and Fine Structure Constant. Journal of Applied Mathematics and Physics, 5, 386.
https://doi.org/10.4236/jamp.2017.52034

has been cited by the following article:

• 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.