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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=-13/4





http://functions.wolfram.com/07.23.03.9179.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(13/4), 11/2, -z] == (16 Sqrt[2] (-560 - 12780 z - 160283 z^2 - 1692487 z^3 - 29012445 z^4 + 326319877 z^5 - 608970895 z^6 + 314476299 z^7 - 38873599 z^8 - 65565 z^9 - 1674 z^10 + (1/Sqrt[1 + z]) (560 + 13060 z + 166603 z^2 + 1771066 z^3 + 29839430 z^4 - 192471578 z^5 + 80935036 z^6 + 198282026 z^7 - 97615558 z^8 + 5861790 z^9 + 133641 z^10 + 3348 z^11)))/ (3825411315 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