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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 4 and fixed z > For fixed z and a=-23/4, b>=a > For fixed z and a=-23/4, b=-21/4





http://functions.wolfram.com/07.23.03.9001.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(21/4), 7/2, -z] == (4 Sqrt[2] (-4 - 171 z - 8365 z^2 + 226681 z^3 - 1048905 z^4 + 1517087 z^5 - 760487 z^6 + 120915 z^7 - 4127 z^8 + (1/Sqrt[1 + z]) (4 + 173 z + 8450 z^2 - 166894 z^3 + 475618 z^4 - 74932 z^5 - 467194 z^6 + 233950 z^7 - 24302 z^8 + 279 z^9)))/ (445005 z^(5/2) Sqrt[-1 + Sqrt[1 + z]])










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