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- File: EULERMAC.DOC Euler-Maclaurin Summation Formula Documentation
-
- EULERMAC.MTH was contributed by Jim FitzSimons of Cave Creek, Arizona.
- Phone: 602-488-1859 Fax: 602-488-5014 E-mail: cherry@neta.com
-
- The Euler-Maclaurin summation formula can be used to find asymptotic
- expansions of finite or infinite sums. It is described in Section 23.1.30
- on page 806 of the Handbook of Mathematical Functions by Milton Abramowitz
- and Irene A. Stegun.
-
- Calls to EULERMAC as defined in EULERMAC.MTH should be of the form:
-
- EULERMAC(y,k,a0,a,b,m)
-
- y should be an expression which is a function of k, the index variable of
- the sum. a0 and b are the starting and ending indexes of the sum,
- respectively. a is the start of the Euler-Maclaurin asymptotic expansion.
- m is the order of the expansion. a and m need to chosen large enough to
- give the desired accuracy.
-
- EULERMAC.DMO provides two examples using EULERMAC.