Numerical Approximation In Real Domain Of Special Function Of Product Of A Variable And Its Double Exponential
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911283899531264 |
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| author | Wadhawan, Narinder Kumar |
| author_facet | Wadhawan, Narinder Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical Approximation In Real Domain Of Special Function Of Product Of A Variable And Its Double Exponential Wadhawan, Narinder Kumar Numerical Analysis 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. |
| title | Numerical Approximation In Real Domain Of Special Function Of Product Of A Variable And Its Double Exponential |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.19270 |