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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=-45/8, b>=a > For fixed z and a=-45/8, b=37/8





http://functions.wolfram.com/07.23.03.b754.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, 7/2, -z] == (1/(463968505 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (3996 - 46287 z + 8277106 z^2 + 73098657 z^3 + 244623540 z^4 + 414118640 z^5 + 380517120 z^6 + 181674240 z^7 + 35425280 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (5328 - 57165 z + 1317237 z^2 + 29508117 z^3 + 161299927 z^4 + 414089060 z^5 + 583882000 z^6 + 466926080 z^7 + 199386880 z^8 + 35425280 z^9) 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