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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=9/4





http://functions.wolfram.com/07.23.03.a8nr.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 9/4, 9/2, -z] == (8 Sqrt[2] (4 (-1326 - 5967 z - 4420 z^2 + 12376 z^3 + 82708 z^4 + 161907 z^5 + 168294 z^6 + 100700 z^7 + 32912 z^8 + 4576 z^9) - (1/Sqrt[1 + z]) (-5304 - 26520 z - 28951 z^2 + 43316 z^3 + 216806 z^4 + 387428 z^5 + 379425 z^6 + 216712 z^7 + 68112 z^8 + 9152 z^9)))/ (2235255 z^(7/2) 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