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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.bamu.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, 1/2, z] == (1/23142) ((1/(1 + Sqrt[z])^(1/4)) (11571 - 42561 Sqrt[z] - 534228 z + 553888 z^(3/2) + 4006912 z^2 - 1951488 z^(5/2) - 10630144 z^3 + 2551808 z^(7/2) + 11599872 z^4 - 1114112 z^(9/2) - 4456448 z^5) + (1/(1 - Sqrt[z])^(1/4)) (11571 + 42561 Sqrt[z] - 534228 z - 553888 z^(3/2) + 4006912 z^2 + 1951488 z^(5/2) - 10630144 z^3 - 2551808 z^(7/2) + 11599872 z^4 + 1114112 z^(9/2) - 4456448 z^5))








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