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<head><title>AppellF1(List) -- Appell F1 system of PDE's</title>
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<div><h1>AppellF1(List) -- Appell F1 system of PDE's</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>AppellF1 {a0,a1,a2,a3}</tt></div>
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<li><span>Function: <a href="___Appell__F1_lp__List_rp.html" title="Appell F1 system of PDE's">AppellF1</a></span></li>
<li><div class="single">Inputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, {a0,a1,a2,a3}</span></li>
</ul>
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<li><div class="single">Outputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, which represents Appell F1 system of PDE's associated to the parameters a0, a1, a2, and a3.</span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="___Appell__F1_lp..._cm_sp__Vars_sp_eq_gt_sp..._rp.html">Vars => ...</a>, </span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : w = {1,4/5,-2,3/2}
4 3
o1 = {1, -, -2, -}
5 2
o1 : List</pre>
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<tr><td><pre>i2 : I = AppellF1 w
3 2 2 2 2 14 2 4
o2 = ideal (- x Dx - x y*Dx*Dy + x Dx + x*y*Dx*Dy - --x Dx - -x*y*Dy +
5 5
------------------------------------------------------------------------
3 4 2 3 2 2 2 3
-x*Dx - -x, - x*y Dx*Dy - y Dy + x*y*Dx*Dy + y Dy + 2x*y*Dx + -y*Dy +
2 5 2
------------------------------------------------------------------------
4
2y, x*Dx*Dy - y*Dx*Dy + 2Dx + -Dy)
5
o2 : Ideal of QQ[x, y, Dx, Dy]</pre>
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<div class="single"><h2>Caveat</h2>
<div>AppellF1 always returns a different ring and will use variables x and y. Input should be a List of 4 numbers.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_gkz.html" title="GKZ A-hypergeometric ideal">gkz</a> -- GKZ A-hypergeometric ideal</span></li>
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