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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfm6.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, -(19/4), z] == (1/(2521376 2^(3/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(3/4) (-1260688 + 1310452 z + 1098955 z^2 + 1121198 z^3 + 1475955 z^4 - 59172816 z^5 + 116164224 z^6 - 83466240 z^7 + 21086208 z^8 + (1/Sqrt[1 - z]) (-1260688 + 1940796 z + 601315 z^2 + 486707 z^3 + 745329 z^4 + 65834029 z^5 - 207973728 z^6 + 249004800 z^7 - 135303168 z^8 + 28114944 z^9)))








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