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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=-1/4





http://functions.wolfram.com/07.23.03.a9c1.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(1/4), 9/2, -z] == (8 Sqrt[2] (2 (-76 - 950 z - 6365 z^2 - 46322 z^3 + 133826 z^4 + 6314 z^5 + 1667 z^6 + 310 z^7 + 28 z^8) + (1/Sqrt[1 + z]) (152 + 1976 z + 13661 z^2 + 98781 z^3 - 24530 z^4 - 135278 z^5 - 30183 z^6 - 7591 z^7 - 1324 z^8 - 112 z^9)))/ (3172455 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