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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=-1/4





http://functions.wolfram.com/07.23.03.9449.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(1/4), 11/2, -z] == (16 Sqrt[2] (-2576 - 36156 z - 252977 z^2 - 1283078 z^3 - 8098599 z^4 + 22313684 z^5 + 1097249 z^6 + 332154 z^7 + 81271 z^8 + 13076 z^9 + 1008 z^10 + (1/Sqrt[1 + z]) (2576 + 37444 z + 270733 z^2 + 1405208 z^3 + 8710675 z^4 - 1699834 z^5 - 11296253 z^6 - 2683348 z^7 - 784643 z^8 - 182030 z^9 - 27664 z^10 - 2016 z^11)))/ (534734915 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