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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=23/8





http://functions.wolfram.com/07.23.03.bk9u.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 23/8, -(11/2), -z] == (1/(135168 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-135168 - 476928 z - 513376 z^2 - 85163 z^3 + 54340 z^4 - 62647 z^5 + 149578 z^6 + 249392 z^7 + 86944 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-16896 - 64896 z - 80558 z^2 - 24089 z^3 + 8255 z^4 - 6799 z^5 + 131703 z^6 + 146432 z^7 + 43472 z^8) 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