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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=-5/4





http://functions.wolfram.com/07.23.03.9349.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(5/4), 7/2, -z] == (4 Sqrt[2] (-1748 - 36271 z - 723235 z^2 + 6540698 z^3 - 5780786 z^4 - 133067 z^5 - 25679 z^6 - 3760 z^7 - 280 z^8 + (1/Sqrt[1 + z]) (1748 + 37145 z + 741152 z^2 - 3407607 z^3 - 2237312 z^4 + 2130667 z^5 + 304200 z^6 + 56963 z^7 + 7940 z^8 + 560 z^9)))/(22207185 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