Solutions for Series of Exponential Equations in Terms of Lambert-W Function and Fundamental Constants - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.4, April 2018

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

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Download as PDF (Size: 968KB) PP. 725-736

DOI: 10.4236/jamp.2018.64065 635 Downloads 1,804 Views Citations

Author(s)

S. Gnanarajan

Affiliation(s)

Aruja & Arjun Pty Ltd., Sydney, Australia.

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.

KEYWORDS

Exponential Equation, Lambert-W Function, Fine Structure Constant, Logarithmic Equation, Numerical Analysis, Fundamental Constants

Share and Cite:

Gnanarajan, S. (2018) Solutions for Series of Exponential Equations in Terms of Lambert-W Function and Fundamental Constants. Journal of Applied Mathematics and Physics, 6, 725-736. doi: 10.4236/jamp.2018.64065.

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