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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=-3/4, b>=a > For fixed z and a=-3/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 11/4, -(11/2), -z] == (Sqrt[z] (-760 z^8 + 672 (1 + Sqrt[1 + z]) + 931 z^5 (8 + 3 Sqrt[1 + z]) + 76 z^7 (-59 + 5 Sqrt[1 + z]) + 336 z (14 + 13 Sqrt[1 + z]) + 19 z^6 (-446 + 103 Sqrt[1 + z]) + 42 z^2 (331 + 281 Sqrt[1 + z]) + z^4 (19444 + 12317 Sqrt[1 + z]) + z^3 (22108 + 16711 Sqrt[1 + z])))/ (1344 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