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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=-39/8, b>=a > For fixed z and a=-39/8, b=15/8





http://functions.wolfram.com/07.23.03.ba9m.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 15/8, 5/2, z] == (1/(9625077 z^(3/2))) (16 ((-Sqrt[z]) (-9269 - 647333 z + 2538241 z^2 - 4271663 z^3 + 3742904 z^4 - 1682032 z^5 + 307648 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((37076 + 157573 z - 1559135 z^2 + 4299319 z^3 - 5952089 z^4 + 4545464 z^5 - 1835856 z^6 + 307648 z^7) 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