sm1_appell4

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.

[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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