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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=-15/4, b>=a > For fixed z and a=-15/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 11/4, -(9/2), -z] == (Sqrt[z] (2112 z^7 + 336 (1 + Sqrt[1 + z]) + 28 z (13 + 7 Sqrt[1 + z]) - 48 z^6 (-107 + 22 Sqrt[1 + z]) - 7 z^4 (21 + 38 Sqrt[1 + z]) + 3 z^3 (34 + 65 Sqrt[1 + z]) - z^2 (123 + 179 Sqrt[1 + z]) - 8 z^5 (-383 + 222 Sqrt[1 + z])))/(672 Sqrt[2] (1 + 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