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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn1y.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(19/4), z] == (-40800 + 183600 z - 252790 z^2 + 27965 z^3 + 61965 z^4 + 203575 z^5 - 641467 z^6 + 650208 z^7 - 298752 z^8 + 53248 z^9 + (1/Sqrt[1 - z]) (2 (-20400 + 102000 z - 169745 z^2 + 66980 z^3 + 34850 z^4 + 89420 z^5 - 1203529 z^6 + 2132168 z^7 - 1702464 z^8 + 670720 z^9 - 106496 z^10)))/(40800 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^7)








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