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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=-31/8, b>=a > For fixed z and a=-31/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, -(3/2), -z] == (1/(624 (1 + z)^(7/2))) (Sqrt[1 + z] (624 - 7579 z + 160407 z^2 + 2583202 z^3 + 9774512 z^4 + 15545952 z^5 + 11250432 z^6 + 3064320 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (78 - 923 z + 423068 z^2 + 3055333 z^3 + 8166352 z^4 + 10394064 z^5 + 6391296 z^6 + 1532160 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