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arXiv · 2511.19270

Numerical Approximation In Real Domain Of Special Function Of Product Of A Variable And Its Double Exponential

Narinder Kumar Wadhawan
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Abstract

Purpose of writing this paper is to solve a transcendental function containing a product of a variable and its double exponential by a unique method of approximation. If the value of the said product is given, then its inverse function is approximated by use of linear expression in place of natural logarithm of a positive real quantity and, that transforms the function to a quadratic equation. Roots of the equation are, then used for solving the function. For precise approximation, the process is iterated a number of times and more the number of iterations, more precise will be the approximation. To prove truthfulness of the formulae derived, a number of examples are given in tabular form.

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Narinder Kumar Wadhawan. 2025-11-24. Numerical Approximation In Real Domain Of Special Function Of Product Of A Variable And Its Double Exponential. https://doi.org/10.47974/jim%201753

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