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- sm1.appell4(a|proc=p)
-
:: Returns the Appell hypergeometric system F_4 or F_C.
- return
-
List
- p
-
Number
- a
-
List
- Returns the hypergeometric system for the Lauricella function
F_4(a,b,c1,c2,...,cn;x1,...,xn)
where a =(a,b,c1,...,cn).
When n=2, the Lauricella function is called the Appell function F_4.
The parameters a, b, c1, ..., cn may be rational numbers.
- @item It does not call sm1 function appell4. As a concequence,
when parameters are rational or symbolic, this function also works
as well as integral parameters.
[281] sm1.appell4([1,2,3,4]);
[[-x2^2*dx2^2+(-2*x1*x2*dx1-4*x2)*dx2+(-x1^2+x1)*dx1^2+(-4*x1+3)*dx1-2,
(-x2^2+x2)*dx2^2+(-2*x1*x2*dx1-4*x2+4)*dx2-x1^2*dx1^2-4*x1*dx1-2],
equations
[x1,x2]] the list of variables
[282] sm1.rank(@);
4
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