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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=25/8, b>=a > For fixed z and a=25/8, b=31/8





http://functions.wolfram.com/07.23.03.c9m3.01









  


  








Input Form





Hypergeometric2F1[25/8, 31/8, -(9/2), z] == -((1/(1483776 (1 - z)^(23/2))) (Sqrt[1 - z] (-1483776 + 20360704 z - 137618476 z^2 + 640731125 z^3 - 2627643717 z^4 + 17312503282 z^5 + 35686739658 z^6 + 8799720681 z^7 + 135291351 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-370944 + 5206096 z - 35946033 z^2 + 170286894 z^3 - 702773303 z^4 + 111188640244 z^5 + 111242558961 z^6 + 17311510062 z^7 + 135291351 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