Solutions for Series of Exponential Equations in Terms of Lambert-W Function and Fundamental Constants

• 作者: S. Gnanarajan
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: EXPONENTIAL EQUATION Lambert-W FUNCTION Fine Structure Constant Logarithmic EQUATION Numerical Analysis FUNDAMENTAL CONSTANTS
• 年，卷（期）: 2018,（4）
• 页码范围: 725-736
• 页数: 12页
• 分类号: O1

摘要

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.