Decomposition of Sum in Recurrent Formula for Exponents of the Inverse Chain Exponential

详细

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.