A recursion identity for formal iterated logarithms and iterated exponentials

Details A recursion identity for formal iterated logarithms and iterated exponentials A recursion identity for formal iterated logarithms and iterated exponentials

2010-12-03

arxiv.org/abs/1012.0822v1

Mathematics

Quantum Algebra

8 pages

Scientific paper

We prove a recursive identity involving formal iterated logarithms and formal iterated exponentials. These iterated logarithms and exponentials appear in a natural extension of the logarithmic formal calculus used in the study of logarithmic intertwining operators and logarithmic tensor category theory for modules for a vertex operator algebra. This extension has a variety of interesting arithmetic properties. We develop one such result here, the aforementioned recursive identity. We have applied this identity elsewhere to certain formal series expansions related to a general formal Taylor theorem and these series expansions in turn yield a sequence of combinatorial identities which have as special cases certain classical combinatorial identities involving (separately) the Stirling numbers of the first and second kinds.

Affiliated with

Also associated with

No associations

Rating

A recursion identity for formal iterated logarithms and iterated exponentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A recursion identity for formal iterated logarithms and iterated exponentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A recursion identity for formal iterated logarithms and iterated exponentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515703