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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.bamd.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, -(15/4), z] == (1/(178640 2^(3/4) (-1 + z)^3)) ((1 + Sqrt[1 - z])^(3/4) (-89320 - 285824 z - 843465 z^2 - 3033951 z^3 + 559360032 z^4 - 1657573632 z^5 + 1653780480 z^6 - 551485440 z^7 - (1/Sqrt[1 - z]) (4 (22330 + 60291 z + 172347 z^2 + 642727 z^3 + 149480913 z^4 - 643232832 z^5 + 1017249024 z^6 - 708280320 z^7 + 183828480 z^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