Decomposition of Sum in Recurrent Formula for Exponents of the Inverse Chain Exponential
- Authors: Bulanov A.P.1
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Affiliations:
- Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI, Studgorodok
- Issue: Vol 39, No 6 (2018)
- Pages: 747-754
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202338
- DOI: https://doi.org/10.1134/S1995080218060045
- ID: 202338
Cite item
Abstract
We discuss a recurrent formula for determining the exponents of an inverse chain exponential; the formula was obtained earlier by a generalization of the original Lambert function. We describe a method of evaluation of the exponents by decomposition of the original sum into partial ones with lesser orders of summation. As an example, we evaluate by this method the sixth exponent.
About the authors
A. P. Bulanov
Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI, Studgorodok
Author for correspondence.
Email: bksen2002@yandex.ru
Russian Federation, Obninsk, Kaluga oblast, 249020