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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=-9/4





http://functions.wolfram.com/07.23.03.9259.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 7/2, -z] == (4 Sqrt[2] (-92 - 2415 z - 65642 z^2 + 894887 z^3 - 1639748 z^4 + 574255 z^5 + 4310 z^6 + 377 z^7 + 20 z^8 + (1/Sqrt[1 + z]) (92 + 2461 z + 66838 z^2 - 553929 z^3 + 159808 z^4 + 645139 z^5 - 141506 z^6 - 9183 z^7 - 784 z^8 - 40 z^9)))/ (2467465 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