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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=31/8





http://functions.wolfram.com/07.23.03.b5i6.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 31/8, -(11/2), z] == -((1/(946176 (1 - z)^(7/2))) (Sqrt[1 - z] (-946176 - 1048320 z - 1387680 z^2 - 2139379 z^3 - 4068207 z^4 - 11054846 z^5 - 74220080 z^6 + 437896800 z^7 - 552321792 z^8 + 208986624 z^9) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-118272 - 94080 z - 116802 z^2 - 186659 z^3 - 385616 z^4 - 1162667 z^5 - 118594960 z^6 + 343967184 z^7 - 328407552 z^8 + 104493312 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