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AppellF1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > AppellF1[a,b1,b2,c,z1,z2] > Series representations > Generalized power series > Expansions at z1==1 > For the function itself





http://functions.wolfram.com/07.36.06.0010.01









  


  










Input Form





AppellF1[a, Subscript[b, 1], Subscript[b, 2], c, Subscript[z, 1], Subscript[z, 2]] == ((Gamma[c] Gamma[c - a - Subscript[b, 1]])/ (Gamma[c - a] Gamma[c - Subscript[b, 1]])) HypergeometricPFQ[{{a}, {Subscript[b, 1]}, {Subscript[b, 2]}}, {{}, {1 + a + Subscript[b, 1] - c}, {c - Subscript[b, 1]}}, 1 - Subscript[z, 1], Subscript[z, 2]] + ((Gamma[c] Gamma[a + Subscript[b, 1] - c])/ (Gamma[a] Gamma[Subscript[b, 1]])) (1 - Subscript[z, 1])^ (c - a - Subscript[b, 1]) HypergeometricPFQ[{{c - Subscript[b, 1]}, {c - a}, {Subscript[b, 2]}}, {{}, {1 + c - a - Subscript[b, 1]}, {c - Subscript[b, 1]}}, 1 - Subscript[z, 1], Subscript[z, 2]]










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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