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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=29/8





http://functions.wolfram.com/07.23.03.bfh5.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 29/8, -(5/2), z] == (1/24960) ((1/(1 + Sqrt[z])^(9/4)) (12480 + 28080 Sqrt[z] + 87672 z + 159237 z^(3/2) + 409136 z^2 + 707616 z^(5/2) + 2620800 z^3 + 2711808 z^(7/2) - 8312832 z^4 - 15814656 z^(9/2) - 7028736 z^5) + (1/(1 - Sqrt[z])^(9/4)) (12480 - 28080 Sqrt[z] + 87672 z - 159237 z^(3/2) + 409136 z^2 - 707616 z^(5/2) + 2620800 z^3 - 2711808 z^(7/2) - 8312832 z^4 + 15814656 z^(9/2) - 7028736 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