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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=45/8





http://functions.wolfram.com/07.23.03.b7ac.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 45/8, 7/2, -z] == (1/(27292265 z^(5/2))) (64 (4 Sqrt[z] (27 - 459 z + 120077 z^2 + 1273869 z^3 + 4994250 z^4 + 9705280 z^5 + 10074240 z^6 + 5364480 z^7 + 1154560 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((144 - 2325 z + 69726 z^2 + 1875171 z^3 + 12037976 z^4 + 35511160 z^5 + 56576000 z^6 + 50448640 z^7 + 23767040 z^8 + 4618240 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