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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=-17/4, b>=a > For fixed z and a=-17/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, -(5/2), -z] == -((Sqrt[z] (-20 (1 + Sqrt[1 + z]) + 49280 z^6 (-1 + 2 Sqrt[1 + z]) + 4928 z^5 (-28 + 51 Sqrt[1 + z]) - 7 z^2 (73 + 81 Sqrt[1 + z]) + z (97 + 107 Sqrt[1 + z]) + 1232 z^4 (-104 + 167 Sqrt[1 + z]) + 168 z^3 (-238 + 311 Sqrt[1 + z])))/(40 Sqrt[2] (1 + 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