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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=-23/8, b>=a > For fixed z and a=-23/8, b=15/8





http://functions.wolfram.com/07.23.03.bk5m.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 15/8, 11/2, z] == (1/(351544479 z^(9/2))) (1024 ((-Sqrt[z]) (7360 - 39560 z + 78499 z^2 - 52325 z^3 - 400387 z^4 + 433121 z^5 - 196196 z^6 + 34320 z^7) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((-29440 + 178480 z - 420371 z^2 + 413356 z^3 + 104650 z^4 - 594568 z^5 + 526929 z^6 - 213356 z^7 + 34320 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