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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 39/8, 11/2, -z] == (1/(838298373 z^(9/2))) (1024 (8 Sqrt[z] (280 - 265 z + 442 z^2 - 1188 z^3 + 110671 z^4 + 310574 z^5 + 289256 z^6 + 90288 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((8960 - 2320 z + 7579 z^2 - 27242 z^3 + 239019 z^4 + 1883552 z^5 + 3551328 z^6 + 2675200 z^7 + 722304 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