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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/07.23.03.9357.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(5/4), 11/2, -z] == (16 Sqrt[2] (-560 - 9500 z - 84023 z^2 - 579706 z^3 - 5747405 z^4 + 32512688 z^5 - 19516601 z^6 - 279922 z^7 - 40859 z^8 - 4680 z^9 - 280 z^10 + (1/Sqrt[1 + z]) (560 + 9780 z + 88703 z^2 + 620565 z^3 + 6027327 z^4 - 12996087 z^5 - 12996087 z^6 + 6027327 z^7 + 620565 z^8 + 88703 z^9 + 9780 z^10 + 560 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