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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5ta.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, 7/2, z] == (1/(182047509 z^(5/2))) (64 (4 Sqrt[z] (47 + 893 z + 739841 z^2 - 7683299 z^3 + 29955366 z^4 - 58131648 z^5 + 60359040 z^6 - 32175360 z^7 + 6935040 z^8) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-752 - 13771 z - 449602 z^2 + 11400381 z^3 - 72398984 z^4 + 212865480 z^5 - 338890752 z^6 + 302319360 z^7 - 142571520 z^8 + 27740160 z^9) 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