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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 31/8, 11/2, -z] == (1/(1811806161 z^(9/2))) (1024 (4 Sqrt[z] (-3472 - 4650 z + 3441 z^2 - 6262 z^3 + 479237 z^4 + 1426194 z^5 + 1651100 z^6 + 879472 z^7 + 180576 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((-55552 - 112592 z + 8463 z^2 - 58435 z^3 + 515437 z^4 + 4135439 z^5 + 8612384 z^6 + 8273056 z^7 + 3879040 z^8 + 722304 z^9) Sinh[ArcSinh[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