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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b801.01









  


  










Input Form





Hypergeometric2F1[-(43/8), 25/8, -(9/2), z] == (1/313344) ((1/(1 - Sqrt[z])^(9/4)) (156672 - 352512 Sqrt[z] + 805120 z - 1334160 z^(3/2) + 2326620 z^2 - 3462033 z^(5/2) + 5583888 z^3 - 8004960 z^(7/2) + 13284480 z^4 - 19388160 z^(9/2) + 44808192 z^5 - 210276352 z^(11/2) + 316293120 z^6 - 140574720 z^(13/2)) + (1/(1 + Sqrt[z])^(9/4)) (156672 + 352512 Sqrt[z] + 805120 z + 1334160 z^(3/2) + 2326620 z^2 + 3462033 z^(5/2) + 5583888 z^3 + 8004960 z^(7/2) + 13284480 z^4 + 19388160 z^(9/2) + 44808192 z^5 + 210276352 z^(11/2) + 316293120 z^6 + 140574720 z^(13/2)))










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)





2007-05-02