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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=-17/4, b>=a > For fixed z and a=-17/4, b=-11/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(11/4), 11/2, -z] == (16 Sqrt[2] (-16 - 292 z - 2845 z^2 - 22464 z^3 - 272987 z^4 + 2096666 z^5 - 2382003 z^6 + 616780 z^7 - 21605 z^8 - 290 z^9 + (1/Sqrt[1 + z]) (16 + 300 z + 2989 z^2 + 23851 z^3 + 283881 z^4 - 1042041 z^5 - 310505 z^6 + 852561 z^7 - 141565 z^8 + 145 z^9)))/ (29464725 z^(9/2) 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