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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, 7/2, -z] == (64 (Sqrt[z] (4692 - 53567 z + 42093856 z^2 + 204635904 z^3 + 302821376 z^4 + 140574720 z^5) Cos[ArcTan[Sqrt[z]]/4] - (18768 - 208403 z + 3772368 z^2 + 33815936 z^3 + 64722944 z^4 + 35143680 z^5) Sin[ArcTan[Sqrt[z]]/4]))/(2632552923 z^(5/2) (1 + z)^(1/8))








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