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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=-23/8, b>=a > For fixed z and a=-23/8, b=-1/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), -(1/8), 9/2, -z] == -((1/(1555137441 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-1840 - 16721 z - 77464 z^2 - 6442502 z^3 + 749476 z^4 + 111215 z^5 + 10556 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (7360 + 71944 z + 355235 z^2 + 1678816 z^3 + 690338 z^4 - 803764 z^5 - 116493 z^6 - 10556 z^7) Sinh[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