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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=-43/8, b>=a > For fixed z and a=-43/8, b=-23/8





http://functions.wolfram.com/07.23.03.b7if.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(23/8), 17/4, z] == (8 2^(1/4) (-147060 + 3443655 z - 53760234 z^2 + 7252482713 z^3 + 30545680956 z^4 + 27421355145 z^5 + 5281377814 z^6 - 3000585 z^7 + 97580 z^8 + (1/Sqrt[1 - z]) (147060 - 3517185 z + 55463679 z^2 + 3299367755 z^3 + 5586794675 z^4 - 4050377875 z^5 - 4490971459 z^6 - 408787015 z^7 + 12270685 z^8 - 390320 z^9)))/ (84626474555 (1 + Sqrt[1 - z])^(1/4) z^3)








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