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AppellF1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > AppellF1[a,b1,b2,c,z1,z2] > Specific values > Values at fixed points > For fixed z1,z2





http://functions.wolfram.com/07.36.03.0011.01









  


  








Input Form





AppellF1[a, Subscript[b, 1], Subscript[b, 2], a - n, Subscript[z, 1], Subscript[z, 2]] - Sum[((Pochhammer[-n, k + l] Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], l])/(Pochhammer[a - n, k + l] k! l!)) (Subscript[z, 1]/(Subscript[z, 1] - 1))^k (Subscript[z, 2]/(Subscript[z, 2] - 1))^l, {k, 0, n}, {l, 0, n - k}]/ ((1 - Subscript[z, 1])^Subscript[b, 1] (1 - Subscript[z, 2])^ Subscript[b, 2]) /; Element[n, Integers] && n >= 0








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)





2007-05-02