Singular Manual: appelF4

| ##### 7.7.5.0. appelF4 Procedure from library `dmodapp.lib` (see dmodapp_lib). Usage: appelF4(); Return: ring (a parametric Weyl algebra) containing an ideal 'IAppel4' Purpose: defines the ideal in a parametric Weyl algebra, which annihilates Appel F4 hypergeometric function Note: The output ring is a parametric Weyl algebra. It contains an ideal 'IAappel4' annihilating Appel F4 hypergeometric function. See (SST) p. 39. Example:
    LIB "dmodapp.lib";
    def A = appelF4();
    setring A;
    IAppel4;
    ==> IAppel4[1]=-x^2*Dx^2+x*Dx^2-2*x*y*Dx*Dy-y^2*Dy^2+(-a-b-1)*x*Dx+(c)*Dx+(-a\
       -b-1)*y*Dy+(-a*b)
    ==> IAppel4[2]=-x^2*Dx^2-2*x*y*Dx*Dy-y^2*Dy^2+y*Dy^2+(-a-b-1)*x*Dx+(-a-b-1)*y\
       *Dy+(d)*Dy+(-a*b)

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