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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=-1/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), -(1/4), 11/2, -z] == (16 Sqrt[2] (-112 - 1268 z - 6971 z^2 - 26849 z^3 - 122650 z^4 + 243122 z^5 + 6137 z^6 + 931 z^7 + 76 z^8 + (1/Sqrt[1 + z]) (112 + 1324 z + 7591 z^2 + 30183 z^3 + 135278 z^4 + 24530 z^5 - 98781 z^6 - 13661 z^7 - 1976 z^8 - 152 z^9)))/ (6697405 z^(9/2) 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