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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=-13/8, b>=a > For fixed z and a=-13/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(13/2))) (2 Sqrt[1 + z] (32256 + 160384 z + 287890 z^2 + 180159 z^3 - 42665 z^4 + 60697 z^5 + 142623 z^6 + 88320 z^7 + 18768 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (48384 + 247632 z + 462509 z^2 + 314433 z^3 - 50715 z^4 + 244283 z^5 + 368874 z^6 + 195408 z^7 + 37536 z^8) 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