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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=11/8, b>=a > For fixed z and a=11/8, b=37/8





http://functions.wolfram.com/07.23.03.c3o9.01









  


  








Input Form





Hypergeometric2F1[11/8, 37/8, -(5/2), -z] == (1/(120640 (1 + z)^(17/2))) (-4 Sqrt[1 + z] (-30160 - 326482 z - 1886885 z^2 - 12144678 z^3 + 17093462 z^4 + 1507282 z^5 + 238855 z^6 + 21390 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-90480 - 992641 z - 5795244 z^2 - 79776974 z^3 + 71274332 z^4 + 6496143 z^5 + 998200 z^6 + 85560 z^7) 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