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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=-1/4, b>=a > For fixed z and a=-1/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 21/4, -(5/2), -z] == (Sqrt[z] (4420 (1 + Sqrt[1 + z]) + 5040 z^7 (-1 + 2 Sqrt[1 + z]) + 221 z (137 + 127 Sqrt[1 + z]) + 221 z^2 (376 + 315 Sqrt[1 + z]) + 140 z^6 (-259 + 500 Sqrt[1 + z]) + 5 z^5 (-22255 + 41262 Sqrt[1 + z]) + 3 z^3 (-59222 + 97897 Sqrt[1 + z]) + z^4 (-186832 + 330049 Sqrt[1 + z])))/ (8840 Sqrt[2] (1 + z)^(15/2) 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