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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=17/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 17/4, 9/2, -z] == (8 Sqrt[2] (-680 + 1496 z - 6001 z^2 + 64770 z^3 + 718683 z^4 + 1947400 z^5 + 2342032 z^6 + 1335488 z^7 + 295680 z^8 - (1/Sqrt[1 + z]) (4 (-170 + 289 z - 1292 z^2 + 15385 z^3 + 125118 z^4 + 298634 z^5 + 329868 z^6 + 176176 z^7 + 36960 z^8))))/ (4023459 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