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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=5/8, b>=a > For fixed z and a=5/8, b=17/8





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









  


  










Input Form





Hypergeometric2F1[5/8, 17/8, -(23/4), z] == (27968 - 231952 z + 852024 z^2 - 1825805 z^3 + 2543988 z^4 - 2490894 z^5 + 2147964 z^6 + 41667 z^7 + (1/Sqrt[1 - z]) (27968 - 245936 z + 964504 z^2 - 2224571 z^3 + 3363792 z^4 - 3579618 z^5 + 3162012 z^6 + 2958357 z^7 - 166668 z^8))/(27968 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + 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