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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=-19/4, b>=a > For fixed z and a=-19/4, b=-5/4





http://functions.wolfram.com/07.23.03.a99b.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(5/4), 7/2, -z] == (4 Sqrt[2] (-76 - 1387 z - 23845 z^2 + 184166 z^3 - 134622 z^4 - 2119 z^5 - 273 z^6 - 20 z^7 + (76 + 1425 z + 24529 z^2 - 88294 z^3 - 71514 z^4 + 44069 z^5 + 4645 z^6 + 576 z^7 + 40 z^8)/Sqrt[1 + z]))/ (672945 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