Reduction tables for elliptic integrals

Jim FitzSimons

April 23, 2006

how to use the tables

how to use the tables PDF

If you have DVI viewer here is the document. DVI how to use the tables

How to use the tables to calculate the perimeter of an ellipse.

Simple example using the tables to find the length of a line. circle1.doc

L^AT_EX source

This is the new notation of the equations in these tables.

Here is the table of integral reductions for h=3 and n=3. table h=3 n=3

Here is the table of integral reductions for h=3 and n=4. table h=3 n=4

Here is the table of integral reductions for h=4 and n=4. table h=4 n=4

Here is the table of integral reductions for h=4 and n=5. table h=4 n=5

Here are the basic integrals for h=3. basic h=3

Here are the basic integrals for h=4. basic h=4

c1998.mth Utilities for the reduction of symmetric elliptic integrals.

c1999.mth More utilities for symmetric elliptic integrals.

c2000.mth More utilities for symmetric elliptic integrals.

carlson.dmo A DEMO for numerical evaluation of symmetric elliptic integrals.
carlson.doc A text document describing how to do the numerical evaluation of symmetric elliptic integrals.
carlson.mth DERIVE program to do the numerical evaluation of symmetric elliptic integrals.

elex.dmo A DERIVE example using symmetric elliptic integrals to solve a problem.
elex.mth A DERIVE example using symmetric elliptic integrals to solve a problem.

lenbez.dmo A DERIVE example solving the length of a Bezier curve using symmetric elliptic integrals.
lenbez.mth A DERIVE example solving the length of a Bezier curve using symmetric elliptic integrals.
LenBez.doc A word document example solving the length of a Bezier curve using symmetric elliptic integrals.
lenbez.mw Maple trying to solve the same example of the length of a Bezier curve.

ppex.dmo A DERIVE example solving an integral from particle physics using symmetric elliptic integrals.
ppex.mth A DERIVE example solving an integral from particle physics using symmetric elliptic integrals.

TABLE.BAS A BASIC program to convert the DERIVE table of integrals to a more usable form.
table.dmo A DERIVE program to generate a table of integrals.
c2001.mth Utility to generate tables for symmetric elliptic integrals.

c2001a.mth More utilities for symmetric elliptic integrals.

Check this page.

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On 27 May 2004, 09:58.