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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.b9uk.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(17/8), -(5/2), z] == (1/3520) ((3520 - 14696 z + 21615 z^2 - 5610 z^3 + 5559 z^4 - 1428 z^5) Cos[ArcSin[Sqrt[z]]/4] - (Sqrt[z] (-880 + 3949 z - 6435 z^2 + 8211 z^3 - 6273 z^4 + 1428 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