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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=-29/8, b>=a > For fixed z and a=-29/8, b=-3/8





http://functions.wolfram.com/07.23.03.bgh9.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(3/8), 9/2, -z] == (256 ((-Sqrt[z]) Sqrt[1 + z] (-90480 - 992641 z - 5795244 z^2 - 79776974 z^3 + 71274332 z^4 + 6496143 z^5 + 998200 z^6 + 85560 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 4 (-30160 - 356642 z - 2213367 z^2 - 14031563 z^3 + 4948784 z^4 + 18600744 z^5 + 1746137 z^6 + 260245 z^7 + 21390 z^8) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (10905809145 z^(7/2) Sqrt[1 + z])








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