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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=21/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), 21/8, -(23/4), z] == (1/(3999424 2^(3/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(3/4) (2 (999856 - 2043184 z + 534105 z^2 + 366652 z^3 + 312377 z^4 + 310674 z^5 - 2024064 z^6 + 1064448 z^7) + (1/Sqrt[1 - z]) (1999712 - 5086224 z + 2861430 z^2 + 585013 z^3 + 301860 z^4 + 255489 z^5 + 5343968 z^6 - 7822080 z^7 + 2838528 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