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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=37/8





http://functions.wolfram.com/07.23.03.bc5t.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, 5/2, -z] == (1/(552475 z^(3/2))) (16 (Sqrt[z] (-111 + 38787 z + 394674 z^2 + 1356528 z^3 + 2108000 z^4 + 1529600 z^5 + 422400 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) (2 (-74 + 2775 z + 75054 z^2 + 444269 z^3 + 1122864 z^4 + 1410000 z^5 + 870400 z^6 + 211200 z^7) 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