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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=-39/8, b>=a > For fixed z and a=-39/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, 7/2, -z] == (64 (4 Sqrt[z] (2139 - 22816 z + 21893714 z^2 + 146628507 z^3 + 369900608 z^4 + 448839424 z^5 + 264929280 z^6 + 61276160 z^7) Cos[ArcTan[Sqrt[z]]/4] - (34224 - 354361 z + 7088646 z^2 + 84532231 z^3 + 269628128 z^4 + 377059584 z^5 + 245780480 z^6 + 61276160 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(5489502249 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