Formal Iterated Logarithms and Exponentials and the Stirling Numbers

Details Formal Iterated Logarithms and Exponentials and the Stirling Numbers Formal Iterated Logarithms and Exponentials and the Stirling Numbers

2011-05-24

arxiv.org/abs/1105.4891v1

Mathematics

Combinatorics

24 pages

Scientific paper

We calculate the formal analytic expansions of certain formal translations in
a space of formal iterated logarithmic and exponential variables. The results
show how the algebraic structure naturally involves the Stirling numbers of the
first and second kinds, and certain extensions of these, which appear as
expansion coefficients.

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