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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.b74g.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, -(9/2), -z] == (1/(7168 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-7168 + 17920 z - 45012 z^2 + 131973 z^3 - 539427 z^4 + 5433540 z^5 + 58255600 z^6 + 132257280 z^7 + 115610880 z^8 + 35425280 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-5376 + 12656 z - 31309 z^2 + 92482 z^3 - 385917 z^4 + 23871060 z^5 + 112146960 z^6 + 185634560 z^7 + 133323520 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