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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 47/8, -(3/2), z] == (1/(19344 (1 - z)^(9/2))) ((-Sqrt[1 - z]) (-19344 - 139841 z - 2048046 z^2 + 25184423 z^3 - 76415416 z^4 + 101232912 z^5 - 62720064 z^6 + 14927616 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (4836 + 33449 z + 9373562 z^2 - 54074911 z^3 + 120124840 z^4 - 130726992 z^5 + 70183872 z^6 - 14927616 z^7) Sin[ArcSin[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