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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.
https://doi.org/10.4236/jamp.2018.64065

has been cited by the following article:

• TITLE: Application of Lambert W Function to Planck Spectral Radiance Frequencies

  AUTHORS: Sabaratnasingam Gnanarajan

  KEYWORDS: Lambert W Function, Planck Radiation, Euler’s Equation, Transcendental Equation, Fine Structure Constant

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.10, October 27, 2021

  ABSTRACT: Planck’s radiation law provides an equation for the intensity of the electromagnetic radiation from a physical body as a function of frequency and temperature. The frequency that corresponds to the maximum intensity is a function of temperature. At a specific temperature, for the frequencies correspond to much less than the maximum intensity, an equation was derived in the form of the Lambert W function. Numerical calculations validate the equation. A new form of solution for the Euler’s transcendental equation was derived in the form of the Lambert W function with logarithmic argument. Numerical solutions to the Euler’s equation were determined iteratively and iterative convergences were investigated. Numerical coincidences with physical constants were explored.