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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.bamb.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, -(9/2), -z] == (1/(623616 (1 + z)^(33/8))) (-4 (-155904 + 142912 z - 222575 z^2 + 478790 z^3 - 1572844 z^4 + 13489437 z^5 + 100022208 z^6 + 184580352 z^7 + 137330688 z^8 + 36765696 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (155904 - 191632 z + 295249 z^2 - 593398 z^3 + 1794897 z^4 + 62448672 z^5 + 148270848 z^6 + 125841408 z^7 + 36765696 z^8) 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