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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.b9xk.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), -(7/2), z] == (1/8960) ((8960 - 14320 z + 1707 z^2 + 813 z^3 + 1344 z^4 - 1848 z^5) Cos[ArcSin[Sqrt[z]]/4] - (4 Sqrt[z] (-560 + 1070 z - 312 z^2 - 93 z^3 - 567 z^4 + 462 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