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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, -(3/2), -z] == (Sqrt[z] (2 (1 + Sqrt[1 + z]) + 14080 z^6 (-1 + 2 Sqrt[1 + z]) + 3520 z^5 (-13 + 24 Sqrt[1 + z]) - z (25 + 26 Sqrt[1 + z]) + 264 z^3 (-103 + 152 Sqrt[1 + z]) + 176 z^4 (-307 + 514 Sqrt[1 + z]) + z^2 (-4871 + 5958 Sqrt[1 + z])))/(4 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