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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=-21/4, b>=a > For fixed z and a=-21/4, b=5/4





http://functions.wolfram.com/07.23.03.a8kk.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 5/4, 7/2, -z] == (4 Sqrt[2] (2652 + 17459 z + 30940 z^2 + 114034 z^3 + 173592 z^4 + 157155 z^5 + 86120 z^6 + 26480 z^7 + 3520 z^8 - (1/Sqrt[1 + z]) (2652 + 18785 z + 39338 z^2 + 71606 z^3 + 101996 z^4 + 87825 z^5 + 46150 z^6 + 13680 z^7 + 1760 z^8)))/ (447051 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