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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=-1/4





http://functions.wolfram.com/07.23.03.9445.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(1/4), 9/2, -z] == (8 Sqrt[2] (-3496 - 48944 z - 372761 z^2 - 3146837 z^3 + 10565882 z^4 + 665654 z^5 + 234059 z^6 + 65263 z^7 + 11788 z^8 + 1008 z^9 - (1/Sqrt[1 + z]) (2 (-1748 - 25346 z - 198398 z^2 - 1663659 z^3 + 849917 z^4 + 2956448 z^5 + 837468 z^6 + 282301 z^7 + 74041 z^8 + 12544 z^9 + 1008 z^10))))/(117380835 z^(7/2) 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