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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.bfi4.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 29/8, 21/4, z] == (1/(31491075 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-34224 + 59892 z + 23529 z^2 + 63457 z^3 + 852035 z^4 - 2898033 z^5 + 3526944 z^6 - 1934592 z^7 + 405504 z^8 + (1/Sqrt[1 - z]) (34224 - 77004 z + 2139 z^2 - 46345 z^3 - 814959 z^4 + 4318953 z^5 - 7804208 z^6 + 6887808 z^7 - 3041280 z^8 + 540672 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