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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=-15/8, b>=a > For fixed z and a=-15/8, b=-1/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), -(1/8), 11/2, -z] == -((1/(6393342813 z^(9/2) Sqrt[1 + z])) (1024 (2 Sqrt[z] Sqrt[1 + z] (-1120 - 9260 z - 35371 z^2 - 88700 z^3 - 3366602 z^4 + 223184 z^5 + 13949 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (8960 + 80240 z + 333163 z^2 + 898418 z^3 + 2426170 z^4 + 1357216 z^5 - 460317 z^6 - 27898 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