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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=29/8





http://functions.wolfram.com/07.23.03.b6zc.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 29/8, -(11/2), -z] == (1/(315392 (1 + z)^(7/2))) (Sqrt[1 + z] (315392 - 134400 z + 129248 z^2 - 159897 z^3 + 256893 z^4 - 617610 z^5 + 3836560 z^6 + 27278880 z^7 + 35969280 z^8 + 13882880 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (118272 - 33152 z + 30338 z^2 - 40609 z^3 + 74004 z^4 - 201705 z^5 + 6923760 z^6 + 21764080 z^7 + 21455360 z^8 + 6941440 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