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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.bfcz.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 21/4, z] == (1/(19494475 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (34224 - 145452 z + 161851 z^2 + 64883 z^3 + 573965 z^4 - 1364387 z^5 + 1281636 z^6 - 572928 z^7 + 101376 z^8 + (1/Sqrt[1 - z]) (-34224 + 162564 z - 230299 z^2 - 529046 z^4 + 2274052 z^5 - 3255687 z^6 + 2356832 z^7 - 879360 z^8 + 135168 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