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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/07.23.03.9267.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(9/4), 11/2, -z] == (16 Sqrt[2] (-560 - 11140 z - 119119 z^2 - 1039767 z^3 - 14063763 z^4 + 119198209 z^5 - 147423809 z^6 + 37243811 z^7 + 184887 z^8 + 12663 z^9 + 540 z^10 + (1/Sqrt[1 + z]) (560 + 11420 z + 124619 z^2 + 1097969 z^3 + 14569431 z^4 - 62157875 z^5 - 12996087 z^6 + 55189115 z^7 - 7921539 z^8 - 388701 z^9 - 26136 z^10 - 1080 z^11)))/ (1604204745 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