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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 z2==0 > For the function itself





http://functions.wolfram.com/07.36.06.0024.01









  


  










Input Form





AppellF1[a, Subscript[b, 1], Subscript[b, 2], c, Subscript[z, 1], Subscript[z, 2]] \[Proportional] Hypergeometric2F1[a, Subscript[b, 1], c, Subscript[z, 11]] + ((a Subscript[b, 2] Hypergeometric2F1[1 + a, Subscript[b, 1], 1 + c, Subscript[z, 1]])/c) Subscript[z, 2] + ((1/(2 c (1 + c))) (a (1 + a) Subscript[b, 2] (1 + Subscript[b, 2]) Hypergeometric2F1[2 + a, Subscript[b, 1], 2 + c, Subscript[z, 1]])) Subscript[z, 2]^2 + O[Subscript[z, 2]^3]










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





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