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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=-17/8





http://functions.wolfram.com/07.23.03.b9ux.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(17/8), 7/2, z] == (1/(11947740189 z^(5/2))) (64 (Sqrt[z] (8556 - 193223 z + 191149795 z^2 + 589697062 z^3 + 305485650 z^4 + 10203157 z^5 - 619121 z^6 + 30044 z^7) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-34224 + 796421 z - 18393974 z^2 - 113033801 z^3 + 13625288 z^4 + 107135427 z^5 + 10508962 z^6 - 634143 z^7 + 30044 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