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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=23/8





http://functions.wolfram.com/07.23.03.bk9t.01









  


  










Input Form





Hypergeometric2F1[-(23/8), 23/8, -(11/2), z] == -((1/(135168 (1 - z)^(11/2))) (Sqrt[1 - z] (-135168 + 476928 z - 513376 z^2 + 85163 z^3 + 54340 z^4 + 62647 z^5 + 149578 z^6 - 249392 z^7 + 86944 z^8) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-16896 + 64896 z - 80558 z^2 + 24089 z^3 + 8255 z^4 + 6799 z^5 + 131703 z^6 - 146432 z^7 + 43472 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