A unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule

Details A unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule A unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..283m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 283-295.

Mathematics

2

Lie Groups, Operators (Mathematics), Perturbation Theory, Series Expansion, Taylor Series, Hamiltonian Functions, Recursive Functions, Transformations (Mathematics)

Scientific paper

The problem of expanding the transform of a function under a
near-identity change of coordinates is reviewed. A common derivation is
given for Musen's Faà di Bruno operators and Kamel's Lie series,
and both are related to Arbogast's Rule for composing power series.

Affiliated with

Also associated with

No associations

Rating

A unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule 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 unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A unified treatment of some expansion procedures in perturbation theory - Lie series, Faadi Bruno operators, and Arbogast's Rule will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1627412