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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=-9/8





http://functions.wolfram.com/07.23.03.b9xv.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), 1/2, z] == (1/3135) ((3135 + 36027 z + 7885 z^2 - 2591 z^3 + 688 z^4 - 88 z^5) Cos[ArcSin[Sqrt[z]]/4] - (4 Sqrt[z] (1542 + 163 z - 2275 z^2 + 731 z^3 - 183 z^4 + 22 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z])








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