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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.bc0v.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, 11/2, -z] == (1/(4838528695 z^(9/2) Sqrt[1 + z])) (1024 (Sqrt[z] Sqrt[1 + z] (-206016 - 454952 z + 123395 z^2 - 187775 z^3 + 5853009 z^4 + 22730307 z^5 + 35173272 z^6 + 27932496 z^7 + 11375040 z^8 + 1893120 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (-274688 - 841232 z - 344433 z^2 - 94424 z^3 + 1276870 z^4 + 14174712 z^5 + 37462371 z^6 + 47835960 z^7 + 33383376 z^8 + 12321600 z^9 + 1893120 z^10) 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