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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=-37/8, b>=a > For fixed z and a=-37/8, b=29/8





http://functions.wolfram.com/07.23.03.bc08.01









  


  










Input Form





Hypergeometric2F1[-(37/8), 29/8, -(5/2), -z] == (1/(960 (1 + z)^(3/2))) ((-Sqrt[1 + z]) (-960 + 5208 z - 27923 z^2 + 309400 z^3 + 3196272 z^4 + 6011200 z^5 + 3155200 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-720 + 3801 z - 20307 z^2 + 1353336 z^3 + 5807472 z^4 + 7588800 z^5 + 3155200 z^6) Sinh[(3 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