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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=-17/4





http://functions.wolfram.com/07.23.03.9093.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(17/4), 11/2, -z] == (16 Sqrt[2] (-16 - 412 z - 5929 z^2 - 73464 z^3 - 1525148 z^4 + 21334976 z^5 - 53140854 z^6 + 41344792 z^7 - 10371404 z^8 + 637756 z^9 + 279 z^10 + (1/Sqrt[1 + z]) (16 + 420 z + 6133 z^2 + 76378 z^3 + 1561164 z^4 - 13549224 z^5 + 13679614 z^6 + 12437316 z^7 - 13670020 z^8 + 2546452 z^9 - 66123 z^10 - 558 z^11)))/ (225024195 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