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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 13/4, -(9/2), -z] == (Sqrt[z] (5040 (1 + Sqrt[1 + z]) + 4420 z^7 (-1 + 2 Sqrt[1 + z]) + 140 z (259 + 241 Sqrt[1 + z]) + 221 z^6 (-137 + 264 Sqrt[1 + z]) + 221 z^5 (-376 + 691 Sqrt[1 + z]) + 5 z^2 (22255 + 19007 Sqrt[1 + z]) + 3 z^4 (59222 + 38675 Sqrt[1 + z]) + z^3 (186832 + 143217 Sqrt[1 + z])))/ (10080 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