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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=7/8





http://functions.wolfram.com/07.23.03.ba50.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 7/8, 7/2, z] == (1/(81125649 z^(5/2))) (64 (-2 Sqrt[z] (-4278 + 33511 z - 764936 z^2 + 956170 z^3 - 804314 z^4 + 424391 z^5 - 127600 z^6 + 16720 z^7) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((34224 - 291617 z + 1230638 z^2 - 2328958 z^3 + 2625200 z^4 - 2003209 z^5 + 972202 z^6 - 271920 z^7 + 33440 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