On the coefficients of the asymptotic expansion of n!

Details On the coefficients of the asymptotic expansion of n! On the coefficients of the asymptotic expansion of n!

2010-03-15

arxiv.org/abs/1003.2907v2

J. Integer Seq., Volume 13, Issue 6, 2010

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

Applying a theorem of Howard for a formula recently proved by Brassesco and
M\'endez, we derive new simple explicit formulas for the coefficients of the
asymptotic expansion to the sequence of factorials. To our knowledge no
explicit formula containing only the four basic operations was known until now.

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