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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=37/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 37/8, -(11/2), -z] == (1/(1306624 (1 + z)^(57/8))) ((1306624 + 6109952 z + 9540768 z^2 + 3914391 z^3 - 1512147 z^4 + 1760213 z^5 - 6499857 z^6 - 24767088 z^7 - 26964096 z^8 - 12863488 z^9 - 2342912 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (326656 + 1425408 z + 1966548 z^2 + 467103 z^3 - 414323 z^4 + 556829 z^5 + 4590267 z^6 + 5841312 z^7 + 3032832 z^8 + 585728 z^9) Sin[ArcTan[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