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AppellF1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > AppellF1[a,b1,b2,c,z1,z2] > Series representations > Residue representations





http://functions.wolfram.com/07.36.06.0021.01









  


  










Input Form





AppellF1[a, Subscript[b, 1], Subscript[b, 2], c, Subscript[z, 1], Subscript[z, 2]] == (Gamma[c]/(Gamma[a] Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]])) Sum[Residue[((Gamma[a - s - t] Gamma[Subscript[b, 1] - s] Gamma[Subscript[b, 2] - t])/((-Subscript[z, 1])^s (-Subscript[z, 2])^t Gamma[c - s - t])) Gamma[s] Gamma[t], {s, -j}, {t, -k}], {k, 0, Infinity}, {j, 0, Infinity}]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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