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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=-47/8, b>=a > For fixed z and a=-47/8, b=-17/8





http://functions.wolfram.com/07.23.03.b4v3.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(17/8), 5/2, z] == (1/(1614559485 z^(3/2))) (16 ((-Sqrt[z]) (33511 - 102696523 z - 531027850 z^2 - 441037358 z^3 - 23285405 z^4 + 2516417 z^5 - 282576 z^6 + 17864 z^7) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (4 (-33511 + 1809594 z + 22729754 z^2 + 12730491 z^3 - 31704433 z^4 - 6127352 z^5 + 663868 z^6 - 72877 z^7 + 4466 z^8) Sin[ArcSin[Sqrt[z]]/4])))










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