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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfn8.01









  


  










Input Form





Hypergeometric2F1[-(31/8), 37/8, 7/2, -z] == (64 (Sqrt[z] (2852 - 26381 z + 19337835 z^2 + 103653472 z^3 + 196171008 z^4 + 158732288 z^5 + 46858240 z^6) Cos[ArcTan[Sqrt[z]]/4] - (11408 - 101959 z + 1720469 z^2 + 16262320 z^3 + 38746752 z^4 + 36022272 z^5 + 11714560 z^6) Sin[ArcTan[Sqrt[z]]/4]))/ (1209551343 z^(5/2) (1 + z)^(1/8))










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